Properties of the Number 22788

Twenty-Two Thousand Seven Hundred Eighty-Eight

Basics

Value: 22787 → 22788 → 22789

Parity: even

Prime: No

Previous Prime: 22787

Next Prime: 22807

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 211

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100100000100

Octal: 54404

Duodecimal: 11230

Hexadecimal: 5904

Square: 519292944

Square Root: 150.9569475049095

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

a(n) = ∑_k=0..n-1 T(n,k) * T(n,k+1), with T given by A026626. A26962

Triangle read by rows: T(n,m) (n >= m >= 1) = number of line segments formed by drawing the lines connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331454

Triangle read by rows: T(n,k) = number of heapable permutations of length n with exactly k consecutive pairs. A389993

Denominators of continued fraction convergents to sqrt(542). A42037

Partial sums of floor(2ⁿ/23). A178457

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁴ *∏_i=1..t (1-xⁱ) ). A59821

Number of length 4+1 0..n arrays with the sum of the squares of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250279

Least multiple of n that contains only the distinct digits of n and n+1, with each of those digits appearing at least once. A328326

Constant term in the expansion of (-1 + (1 + x + 1/x) * (1 + y + 1/y) * (1 + z + 1/z))ⁿ. A328874

a(n) = k implies that there exists a set S of positive integers such that ∑_{s_i in S} 1/s_i = n, max(S) = k and no set S' exists with the same sum and a smaller maximal element. A101877