Properties of the Number 29228

Twenty-Nine Thousand Two Hundred Twenty-Eight

Basics

Value: 29227 → 29228 → 29229

Parity: even

Prime: No

Previous Prime: 29221

Next Prime: 29231

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7307

Divisors: 1, 2, 4, 7307, 14614, 29228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000101100

Octal: 71054

Duodecimal: 14AB8

Hexadecimal: 722c

Square: 854275984

Square Root: 170.96198407833245

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Kendall-Mann numbers: the most common number of inversions in a permutation on n letters is floor(n*(n-1)/4); a(n) is the number of permutations with this many inversions. A140

Array read by antidiagonals: A(n,k) is the number of sets of nonempty subsets of a k-element set where each element appears in at most n subsets. A330964

Triangle, read by rows, where T(n,k) equals the number of permutations of {1..n+1} with [(nk+k)/2] inversions for n>=k>=0. A128564

Number of partitions p of n such that 2·min(p) is a part of p. A238589

Largest coefficient in expansion of ∏_i=1..n (1-q¹+q²-...+(-q)ⁱ). A39909

Number of ways to partition n labeled elements into sets of different sizes of at least 3. A341283

a(n) is the number of permutations of [1..n] that have the same number of inversions as non-inversions. A316775

Number of reduced words of length n in the Weyl group A₈. A161456

Numbers which are members of both A000140 and A039909. A179998