Properties of the Number 22816

Twenty-Two Thousand Eight Hundred Sixteen

Basics

Value: 22815 → 22816 → 22817

Parity: even

Prime: No

Previous Prime: 22811

Next Prime: 22817

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 23 × 31

Divisors: 1, 2, 4, 8, 16, 23, 31, 32, 46, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100100100000

Octal: 54440

Duodecimal: 11254

Hexadecimal: 5920

Square: 520569856

Square Root: 151.04966070799364

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

a(n) = (n+1)*(2·n+1)*(3·n+1). A11199

Row sums in A083167. A83170

dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6). A26066

Expansion of e.g.f. (1+x)*exp(3·x)*cosh(x). A82307

Number of 4-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. A186853

∑_i=1..n ∑_j=1..n (i OR j), where OR is the binary logical OR operator. A258438

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood. A269912

Expansion of 1/(1 - ∑_k>=2 (1 - floor(2/d(k)))*x^k), where d(k) is the number of divisors (A000005). A280544

a(n) = 90·binomial(n,6) + 18·binomial(n,4) + 3·binomial(n,2) + 1. A382084

Triangle T(n,k) represents the coefficients of (x¹⁶*d/dx)ⁿ, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297. A223518