Properties of the Number 22159

Twenty-Two Thousand One Hundred Fifty-Nine

Basics

Value: 22158 → 22159 → 22160

Parity: odd

Prime: Yes

Previous Prime: 22157

Next Prime: 22171

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 22159

Divisors: 1, 22159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010001111

Octal: 53217

Duodecimal: 109A7

Hexadecimal: 568f

Square: 491021281

Square Root: 148.8589936819405

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) is the number of n-tosses having a run of 3 or more heads for a fair coin (i.e., probability is a(n)/2ⁿ). A50231

Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3). A118467

Number of pairs of set partitions of {1,...,n} where every block of one is a subset or superset of some block of the other. A322442

Numbers k such that k!*2^k - 1 is prime. A91415

Terms of A177763 which have more than one such representation. A177766

G.f. A(x) satisfies: A(x) = x + x² * A(x/(1 - 3·x)) / (1 - 3·x). A351053

Primes of the form m*(m+1)/2 + 4. A159048

Prime values in A067439, in the order in which they appear. A340736

First differences of A261091: a(n) = A261091(n+1) - A261091(n). A261090

Primes p such that 2·p+1 is divisible by the sum of digits of p+1. A267542