Properties of the Number 22513

Twenty-Two Thousand Five Hundred Thirteen

Basics

Value: 22512 → 22513 → 22514

Parity: odd

Prime: No

Previous Prime: 22511

Next Prime: 22531

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 47 × 479

Divisors: 1, 47, 479, 22513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111110001

Octal: 53761

Duodecimal: 11041

Hexadecimal: 57f1

Square: 506835169

Square Root: 150.04332707588165

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

Consecutive states of the linear congruential pseudo-random number generator for 16-bit WATFOR/WATFIV when started at 1. A384158

Expansion of g/(1 - x·g)², where g = 1+x·g³ is the g.f. of A001764. A391168

Expansion of e.g.f. 1/(1 - x³)^{1 + 1/x + 1/x²}. A246689

Coefficients of mock modular form H₂⁴ (divided by 16). A256209

Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=1, r=4, I={0,3}. A79973

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood. A283212

Expansion of (1-6·x+12·x²-8·x³+x⁴)/((1-2·x)²*(1-3·x+x²)). A244885

Centered cubohemioctahedral numbers: a(n) = 2·n³+9·n²+n+1. A274973

Odd numbers k such that φ(k) and cototient(k) have the same prime signature. A280927

Numbers k such that φ(k) > φ(k+1) > φ(k+2) > φ(k+3) where φ is the Euler totient function (A000010). A326817