Properties of the Number 22568

Twenty-Two Thousand Five Hundred Sixty-Eight

Basics

Value: 22567 → 22568 → 22569

Parity: even

Prime: No

Previous Prime: 22567

Next Prime: 22571

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 7 × 13 × 31

Divisors: 1, 2, 4, 7, 8, 13, 14, 26, 28, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100000101000

Octal: 54050

Duodecimal: 11088

Hexadecimal: 5828

Square: 509314624

Square Root: 150.22649566571138

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

Jordan function J₃(n). A59376

a(n) = 2·a(n-1) + 11·a(n-2), a(0) = 0, a(1) = 1. A15520

Multiplicative with a(p^e) = 1 - p³. A63453

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280902

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A235319

Triangle read by rows: T(n,k) is the number of hypergraphs on n labeled vertices with k edges and all vertices having even degree, 0 <= k < 2ⁿ. A340030

Expansion of (1/x) * Series_Reversion( x * (1-x)² * (1-x-x²)² ). A368967

Sum of the divisors of the primorial inflation of n. A337203

8 times octagonal numbers: 8·n*(3·n-2). A153808

Antidiagonal sums of the convolution array A213828. A213830