Properties of the Number 22157

Twenty-Two Thousand One Hundred Fifty-Seven

Basics

Value: 22156 → 22157 → 22158

Parity: odd

Prime: Yes

Previous Prime: 22153

Next Prime: 22159

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 22157

Divisors: 1, 22157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010001101

Octal: 53215

Duodecimal: 109A5

Hexadecimal: 568d

Square: 490932649

Square Root: 148.85227576359054

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

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10. A31423

Sum of the third largest parts in the partitions of n into 8 parts. A308996

Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number). A55472

Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD. A117458

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 6/5. A279778

Dirichlet convolution of A003415(n) and A003415(A276086(n)), where A003415(n) is the arithmetic derivative of n, and A276086(n) gives the prime product form of primorial base expansion of n. A347389

Let F(g,p) be the frequency of g up to prime nextprime(p+1). Primes p such that F(2,p) = F(4,p) and g = 2 or 4. A274122

Primes that remain prime through 3 iterations of function f(x) = 9x + 4. A23297

Primes of the form (n²+1)/26. A208292

Lesser of twin primes of (29n + 1, 29n + 3). A248620