Properties of the Number 22600

Twenty-Two Thousand Six Hundred

Basics

Value: 22599 → 22600 → 22601

Parity: even

Prime: No

Previous Prime: 22573

Next Prime: 22613

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 ² × 113

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100001001000

Octal: 54110

Duodecimal: 110B4

Hexadecimal: 5848

Square: 510760000

Square Root: 150.33296378372907

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

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

Number of partitions p of n such that (number of even numbers in p) < 2*(number of odd numbers in p). A241641

G.f. A(x) satisfies A(x) = (1 + x·A(x)^3/2 / (1+x))⁴. A371539

Number of n X 3 0..2 matrices with row sums 3 and column sums n up to permutations of rows. A377067

Main diagonal of array A[k,n] = n-th sum of 3 consecutive k-gonal numbers, k>2. A130423

a(n) = 729·n + 1. A158397

Those terms of A255571 whose every A080541/A080542-rotation is also a term of A255571. A258001

Expansion of (theta₃(z)*theta₃(7z) + theta₂(z)*theta₂(7z))⁴. A28596

Number of partitions of n with equal number of parts congruent to each of 0 and 4 (mod 5). A35555

a(n) = 31·n² + 1. A247155