Properties of the Number 22291

Twenty-Two Thousand Two Hundred Ninety-One

Basics

Value: 22290 → 22291 → 22292

Parity: odd

Prime: Yes

Previous Prime: 22283

Next Prime: 22303

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 22291

Divisors: 1, 22291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011100010011

Octal: 53423

Duodecimal: 10A97

Hexadecimal: 5713

Square: 496888681

Square Root: 149.30170796075979

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

Prime numbers containing the string 222. A166580

Primes of the form 2·n² + 58·n + 27. A217498

Minimal set of prime-strings in base 10 for primes of the form 4n+3 in the sense of A071062. A111056

Last occurrence of n partitions in A204814. A205301

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003

Numbers k such that 33·2^k - 1 is prime. A2240

Number of compositions of n such that the smallest part has multiplicity two. A241862

Number of powers x^y (x,y > 1) with n digits. A60298

a(n) = n·A340339(n)+b, where b = 1 if n is even or 2 if n is odd. A340340

Expansion of e.g.f. 2 * (exp(x) - 1) / (exp(exp(x) - 1) + 1). A357240