Properties of the Number 12224

Twelve Thousand Two Hundred Twenty-Four

Basics

Value: 12223 → 12224 → 12225

Parity: even

Prime: No

Previous Prime: 12211

Next Prime: 12227

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 191

Divisors: 1, 2, 4, 8, 16, 32, 64, 191, 382, 764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000000

Octal: 27700

Duodecimal: 70A8

Hexadecimal: 2fc0

Square: 149426176

Square Root: 110.56219968868203

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 subset-sums of strict integer partitions of n. A365925

Numbers k whose deficiency is 64: 2k - σ(k) = 64. A275997

Number of rooted trees with a forbidden limb of length 6. A52329

Deficient-perfect numbers: Deficient numbers n such that n/(2n-σ(n)) is an integer. A271816

T(n,k)=Number of nXk binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly increasing order. A181266

Expansion of 1/(1 - 2·x² - 2·x³). A52907

Numbers k divisible by their abundance σ(k) - 2·k. A97498

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A298895

a(n) = ∑_{k=0..floor(n/4)} C(n-k,3·k) * 2^n-3·k. A99785

Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n). A64803