Properties of the Number 22704

Twenty-Two Thousand Seven Hundred Four

Basics

Value: 22703 → 22704 → 22705

Parity: even

Prime: No

Previous Prime: 22699

Next Prime: 22709

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 11 × 43

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010110000

Octal: 54260

Duodecimal: 11180

Hexadecimal: 58b0

Square: 515471616

Square Root: 150.6784656146989

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

Generating function A(x) satisfies A(x) = (1+x)²*A(x²)², with A(0)=1. A73708

Expansion of ∏_k>=1 1/(1 - x^k)^k²*(k+1/2). A279216

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. A253367

Numbers k such that ∑_i=1..k i^σ(i) == 0 (mod k). A227427

Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence. A73707

Number of walks of length n along the edges of a dodecahedron between two opposite vertices. A54883

Number of unordered pairs of natural numbers k1, k2 such that their product is an n-digit number and has the same multiset of digits as in both k1 and k2. A370676

a(1) = 1, a(2) = 2; for n >= 2, a(n+1) = a(n) + sum of the unique prime factors of a(n). A96460

Riordan array (1-u, u) where u=(-1 + sqrt(1+8·x))/4. A110292

(1/4)*number of nonsquare rectangles with corners on an n X n grid of points. A122225