Properties of the Number 22818

Twenty-Two Thousand Eight Hundred Eighteen

Basics

Value: 22817 → 22818 → 22819

Parity: even

Prime: No

Previous Prime: 22817

Next Prime: 22853

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3803

Divisors: 1, 2, 3, 6, 3803, 7606, 11409, 22818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100100100010

Octal: 54442

Duodecimal: 11256

Hexadecimal: 5922

Square: 520661124

Square Root: 151.0562809021856

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

Total sum A(n,k) of the k-th powers of lengths of ascending runs in all permutations of [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A229001

Numbers n such that n² is a sum of 2 and also of 4 consecutive primes. A252066

Total sum of cubed lengths of ascending runs in all permutations of [n]. A229003

Row sums of A257241, Stifel's version of the arithmetical triangle. A258143

a(n) = C(n,8) + C(n,7) + C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1). A116690

a(n) = 2ⁿ+(1+(n mod 2)/2)*C(n+1,floor((n+(n mod 2))/2))-1. A261682

Starts of a run of at least n consecutive numbers k for which k² - k + 41 is composite. A284043

The number of paths of length 2m in the plane, starting and ending at (0,1), with unit steps in the four directions (north, east, south, west) and staying in the region y > 0 or x > -y. A292361

Square array read by antidiagonals: A(n,k) = number of terms in the n-th derivative of a function composed with itself k times (n, k >= 1). A22818