Properties of the Number 82200

Eighty-Two Thousand Two Hundred

Basics

Value: 82199 → 82200 → 82201

Parity: even

Prime: No

Previous Prime: 82193

Next Prime: 82207

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 ² × 137

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: 10100000100011000

Octal: 240430

Duodecimal: 3B6A0

Hexadecimal: 14118

Square: 6756840000

Square Root: 286.70542373662903

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(n) = ∑_i=1..n ( ∑_j=1..n i^j ). A86787

θ series of D₆ lattice. A8428

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood. A279824

Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero. A208598

Number of (n+2)X(n+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253502

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253510

Triangle T(j,k) for 1 <= k <= j is filled row by row in the following manner: T(1,1) = 1; T(j,k) is the smallest nonprime number not yet used which is coprime to its left, left upper, upper and right upper neighbor, provided that such a neighbor exists (i.e., belongs to the triangle). Sequence contains the triangle by rows. A82200

Primes p such that p² divides A086787(p+1). A123374