Properties of the Number 22641

Twenty-Two Thousand Six Hundred Forty-One

Basics

Value: 22640 → 22641 → 22642

Parity: odd

Prime: No

Previous Prime: 22639

Next Prime: 22643

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7547

Divisors: 1, 3, 7547, 22641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100001110001

Octal: 54161

Duodecimal: 11129

Hexadecimal: 5871

Square: 512614881

Square Root: 150.46926596484747

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Partial sums of A299285. A299286

G.f.: A(x) = exp( ∑_n>=1 3·A038500(n) * xⁿ/n ), where A038500 is the highest power of 3 dividing n. A161809

Number of genus 0 unsensed hypermaps with n darts. A214821

Number of inequivalent convex lattice polygons containing n lattice points (including points on the boundary). A371917

Semiprimes q such that q²-4 and q²+4 are also semiprimes. A173084

Expansion of ∏_k>=1 1/(1 - (5·k-2)*x^5·k-2). A265832

Number of nX1 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200930

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 139", based on the 5-celled von Neumann neighborhood. A270280

Truncated centered square numbers: a(n) = 14·n² - 22·n + 9. A389928

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value and 0..k occur with instance counts within one of each other. A200942