Properties of the Number 22140

Twenty-Two Thousand One Hundred Forty

Basics

Value: 22139 → 22140 → 22141

Parity: even

Prime: No

Previous Prime: 22133

Next Prime: 22147

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 41

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011001111100

Octal: 53174

Duodecimal: 10990

Hexadecimal: 567c

Square: 490179600

Square Root: 148.79516121164693

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k². A53818

a(n) = n·sigma₂(n). A328259

Number of primitive (aperiodic, or Lyndon) asymmetric rhythm cycles: ones having no nontrivial shift automorphism. A6575

Sum of the squared parts of the partitions of n into exactly two parts. A226141

Sum of the squares of the parts in the partitions of n into two distinct parts. A294286

a(n) is the smallest integer k such that the Diophantine equation x³ + y³ + z³ = k³, where 0 < x <= y <= z has exactly n integer solutions. A377444

Largest number of maximum matchings in a tree of n vertices. A333347

Array read by antidiagonals: T(n,k) is the number of homeomorphically irreducible leaf colored trees with n leaves of k colors. A339779

Number of ways to write n as an ordered sum of 10 nonzero tetrahedral numbers. A341809