22643 (number)
22,643 (twentytwo thousand six hundred fortythree) is an odd fivedigits prime number following 22642 and preceding 22644. In scientific notation, it is written as 2.2643 × 10^{4}. The sum of its digits is 17. It has a total of 1 prime factor and 2 positive divisors. There are 22,642 positive integers (up to 22643) that are relatively prime to 22643.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 17
 Digital Root 8
Name
Short name  22 thousand 643 

Full name  twentytwo thousand six hundred fortythree 
Notation
Scientific notation  2.2643 × 10^{4} 

Engineering notation  22.643 × 10^{3} 
Prime Factorization of 22643
Prime Factorization 22643
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  22643  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.027606032373  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 22,643 is 22643. Since it has a total of 1 prime factor, 22,643 is a prime number.
Divisors of 22643
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  22644  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  11322  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  150.47591169353  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999116763823  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 22,643 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 22,643) is 22,644, the average is 11,322.
Other Arithmetic Functions (n = 22643)
φ(n)  Euler Totient  22642  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  22642  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2530  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 22,642 positive integers (less than 22,643) that are coprime with 22,643. And there are approximately 2,530 prime numbers less than or equal to 22,643.
Divisibility of 22643
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  3  5  5  3  8 
22,643 is not divisible by any number less than or equal to 9.
Classification of 22643
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (22643)
Base  System  Value 

2  Binary  101100001110011 
3  Ternary  1011001122 
4  Quaternary  11201303 
5  Quinary  1211033 
6  Senary  252455 
8  Octal  54163 
10  Decimal  22643 
12  Duodecimal  1112b 
16  Hexadecimal  5873 
20  Vigesimal  2gc3 
36  Base36  hgz 
Basic calculations (n = 22643)
Multiplication
n×yn×2  45286 

n×3  67929 
n×4  90572 
n×5  113215 
Division
n÷yn÷2  11321.500 

n÷3  7547.666 
n÷4  5660.750 
n÷5  4528.600 
Exponentiation
n^{y}n^{2}  512705449 

n^{3}  11609189481707 
n^{4}  262866877434291601 
n^{5}  5952094705744664721443 
Nth Root
^{y}√n^{2}√n  150.47591169353 

^{3}√n  28.290762675035 
^{4}√n  12.26686234102 
^{5}√n  7.4299654338245 
22643 as geometric shapes
Circle
Radius = nDiameter  45286 

Circumference  142270.16491047 
Area  1610711672.0339 
Sphere
Radius = nVolume  48628459186483 

Surface area  6442846688.1354 
Circumference  142270.16491047 
Square
Length = nPerimeter  90572 

Area  512705449 
Diagonal  32022.037692814 
Cube
Length = nSurface area  3076232694 

Volume  11609189481707 
Space diagonal  39218.826435782 
Equilateral Triangle
Length = nPerimeter  67929 

Area  222007971.74635 
Altitude  19609.413217891 
Triangular Pyramid
Length = nSurface area  888031886.98541 

Volume  1368156101099.1 
Height  18487.932081946 
Cryptographic Hash Functions
md5  dfd1e5f05a19b577a89a80f1cc545b7e 

sha1  320cc9f5a29cafe70990ca31df4c6c39e0cbf915 
sha256  9181ae0c6fa6b09124837890b780c1de1315627d8a6e9d41f713411752681196 
sha512  d59bb158a797a453931b7ef607914be77432f7d5d5128ce4cafaf0d66b31a18ece67d500a39401320eb3048cd6451ca49c2c87d38af18bb5e07d1a38bc2058d7 
ripemd160  3c7a808c95455530a9aaf7ba38981a00bb15c996 