Properties of the Number 22080

Twenty-Two Thousand Eighty

Basics

Value: 22079 → 22080 → 22081

Parity: even

Prime: No

Previous Prime: 22079

Next Prime: 22091

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001000000

Octal: 53100

Duodecimal: 10940

Hexadecimal: 5640

Square: 487526400

Square Root: 148.59340496805368

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

Sum of all parts of all overpartitions of n. A235793

Heinz numbers of integer partitions such that 3*(sum) = (reverse-weighted sum). A363531

Number of labeled groups. A34383

Triangle read by rows: T(n,k) is the number of labeled monoids of order n with k idempotents. A58157

Number of Lyndon words on {1, 2, 3} with an even number of 1's. A133267

Numbers with prime factorization pqrs⁶. A190292

a(n) = φ(n³ - 1)/3 where φ is A000010. A319213

E.g.f. A(x) satisfies A(x) = 1/( 1 - x·cosh(x·A(x)²) ). A381376

Number of elements of S_n with strategic pile of size 4. A267324

a(n) = φ(A291789(n)). A291805