Properties of the Number 2192

Two Thousand One Hundred Ninety-Two

Basics

Value: 2191 → 2192 → 2193

Parity: even

Prime: No

Previous Prime: 2179

Next Prime: 2203

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 137

Divisors: 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010010000

Octal: 4220

Duodecimal: 1328

Hexadecimal: 890

Square: 4804864

Square Root: 46.8187996428785

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 n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n. A31

Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Number of integer partitions of n without an alternating permutation. A345165

a(n) = ∑_{k divides n} (n/k)^k. A55225

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal binary arrays (n >= 1, k >= 1). A184271

Numbers that are the sum of 8 positive 6th powers. A3364

Numbers that are the sum of 6 positive 7th powers. A3373

Number of subsets of {1,2,...,n} which sum to 0 modulo n. A63776

Number of nonisomorphic circulant graphs, i.e., undirected Cayley graphs for the cyclic group of order n. A49287