Properties of the Number 22161

Twenty-Two Thousand One Hundred Sixty-One

Basics

Value: 22160 → 22161 → 22162

Parity: odd

Prime: No

Previous Prime: 22159

Next Prime: 22171

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 83 × 89

Divisors: 1, 3, 83, 89, 249, 267, 7387, 22161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011010010001

Octal: 53221

Duodecimal: 109A9

Hexadecimal: 5691

Square: 491109921

Square Root: 148.86571129712846

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

Number of partitions p of n including floor(mean(p)) as a part. A241334

Triangle read by rows: row n gives coefficients of Schur polynomial ω(n) in order of decreasing powers of x. A269750

First element of first run of exactly n consecutive numbers not of form x²+y². A104271

a(n) = (4·n + 3)*(1 + 2·n²)/3. A168574

Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first differences in -n..n. A208995

Numbers k such that (Sum of totatives of k) == 1 (mod Sum of primes dividing k with multiplicity). A340299

Numbers that cannot be expressed as a sum of 2 triangular numbers and a power of 2. A112665

Expansion of ∏_k>=1 (1 + x^k*(k+1/2))^k*(k+1/2). A298850

Odd numbers k > 1 such that k == 1 (mod 4), ∏_n>=1 (a(n)-1)/(a(n)+1) = π/4, and Limit_n->oo a(n+1)/a(n) = 3, where a(1) = 13 (see comments). A317986

Numbers having four 3's in base 9. A43468