Properties of the Number 22979

Twenty-Two Thousand Nine Hundred Seventy-Nine

Basics

Value: 22978 → 22979 → 22980

Parity: odd

Prime: No

Previous Prime: 22973

Next Prime: 22993

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 11 × 2089

Divisors: 1, 11, 2089, 22979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100111000011

Octal: 54703

Duodecimal: 1136B

Hexadecimal: 59c3

Square: 528034441

Square Root: 151.5882581204758

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

Expansion of φ(x²) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A226622

Deficiency of prime-shifted squares: a(n) = 2·A003961(n²) - σ(A003961(n²)), where A003961 is fully multiplicative function with a(prime(i)) = prime(i+1). A378231

Number of 3 X n matrices containing a 1 in the top left entry, all entries are integer values and adjacent entries differ by at most 1. A138978

Number of 4 X n matrices containing a 1 in the top left entry, all entries are integer values and adjacent entries differ by at most 1. A138979

T(n,k)=Number of nXk 0..4 arrays with entries increasing mod 5 by 0, 1 or 2 rightwards and downwards, starting with upper left zero. A222169

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 5/4. A279677

Expansion of ∏_k>=1 (1 + x^5·k-4)^5·k-4. A285338

Convolution of A007528 and A002476. A354543

a(n) = numerator(∑_k=1..n d(k+1)/d(k)), where d is the number of divisors function. A386925

Partial sums of A056272. A99265