Properties of the Number 22099

Twenty-Two Thousand Ninety-Nine

Basics

Value: 22098 → 22099 → 22100

Parity: odd

Prime: No

Previous Prime: 22093

Next Prime: 22109

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 11 × 41

Divisors: 1, 7, 11, 41, 49, 77, 287, 451, 539, 2009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001010011

Octal: 53123

Duodecimal: 10957

Hexadecimal: 5653

Square: 488365801

Square Root: 148.6573240711671

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

Partial sums of A299281. A299282

(24n - 1)p(n): traces of partition class polynomials, with a(0) = -1. A183011

a(n) = (1/6)*(2·n - 3)*(n + 2)*(n + 1). A58373

Staircase of coefficients of polynomials used for column g.f.s of triangle A060923. A61186

a(n)=12·sum(1<=i<=j<=k<=n,i·j/k). A88941

Nested floor product of n and fractions (k+1)/k for all k>0 (mod 6), divided by 6. A73363

a(n) = (-1)ⁿ*n*(n+1)*(2·n-5)/6. A167386

Expansion of 1 / ((1-x) * (1-3·x) * (1-11·x)). A16216

Numbers k such that 39·2^k + 5 is prime. A393387

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order. A233217