Properties of the Number 12228

Twelve Thousand Two Hundred Twenty-Eight

Basics

Value: 12227 → 12228 → 12229

Parity: even

Prime: No

Previous Prime: 12227

Next Prime: 12239

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1019

Divisors: 1, 2, 3, 4, 6, 12, 1019, 2038, 3057, 4076

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000100

Octal: 27704

Duodecimal: 70B0

Hexadecimal: 2fc4

Square: 149523984

Square Root: 110.58028757423268

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

Number of partitions of n with a product greater than n. A114324

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A269035

Whitney number of level n of the lattice of the ideals of the crown of size 2 n. A51292

Binomial transform of [1, 1, 6, 6, 6, ...]. A131066

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231544

T(n,k)=Number of nXk binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once. A268750

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235078

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300804

a(n) = (p(n)*p(n+2) - p(n+1))/2, where p(n) is the n-th odd prime. A152531

Number of regions in an equilateral triangle "frame" of size n. A328526