Properties of the Number 22158

Twenty-Two Thousand One Hundred Fifty-Eight

Basics

Value: 22157 → 22158 → 22159

Parity: even

Prime: No

Previous Prime: 22157

Next Prime: 22159

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1231

Divisors: 1, 2, 3, 6, 9, 18, 1231, 2462, 3693, 7386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011010001110

Octal: 53216

Duodecimal: 109A6

Hexadecimal: 568e

Square: 490976964

Square Root: 148.85563476066332

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

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is a part of p. A241735

Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n²-1, in increasing order. A256407

Matula-Goebel tree number of tree n with a new leaf added below each existing vertex. A348067

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,0,1,1. A25273

Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n²-1, in order of increasing m. A256406

G.f.: exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n,k)² * x^k/(1-x)^k ). A217333

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253395

Numbers k such that k⁷ - 1 and k⁷ + 1 are semiprimes. A279272

Number of valid hook configurations of permutations of [n] that avoid the patterns 231 and 321. A307788

First column of spectral array W(sqrt(3)). A22158