Properties of the Number 88200

Eighty-Eight Thousand Two Hundred

Basics

Value: 88199 → 88200 → 88201

Parity: even

Prime: No

Previous Prime: 88177

Next Prime: 88211

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ² × 7 ²

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100010001000

Octal: 254210

Duodecimal: 43060

Hexadecimal: 15888

Square: 7779240000

Square Root: 296.98484809834997

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

a(1)=1, a(n) = n·a(floor(n/2)). A98844

a(n) = n²*(n+1)²/2. A163102

Number T(n,k) of entries in the k-th cycles of all permutations of {1,2,..,n}; each cycle is written with the smallest element first and cycles are arranged in increasing order of their first elements. A185105

Primorial inflation of Doudna-tree: a(0) = 1, a(1) = 2; for n > 1, if n is even, a(n) = A283980(a(n/2)), and if n is odd, then a(n) = 2·a((n-1)/2). A329886

Triangle of coefficients of square of Hermite polynomials divided by 2ⁿ with argument sqrt(x/2). A111595

Transform of n³ by the Riordan array (1/(1-x²), x). A105636

A permutation of A025487: Sequence of least representatives of distinct prime signatures obtained from the run lengths present in the binary expansion of n. A322827

A partition product of Stirling₁ type [parameter k = -4] with biggest-part statistic (triangle read by rows). A157384

Members of A025487 such that A025487(n) >= A181822(n). A181826

Smallest order for which there are n nonisomorphic finite Abelian groups, or 0 if no such order exists. A46056