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Properties of the Number 22412

Twenty-Two Thousand Four Hundred Twelve

Basics

Value: 22411 → 22412 → 22413

Parity: even

Prime: No

Previous Prime: 22409

Next Prime: 22433

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 2 × 13 × 431

Divisors: 1, 2, 4, 13, 26, 52, 431, 862, 1724, 5603

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110001100

Octal: 53614

Duodecimal: 10B78

Hexadecimal: 578c

Square: 502297744

Square Root: 149.70637928959474

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153
T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically. A207000
T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically. A206883
Augmentation of the Fibonacci triangle A193588. See Comments. A193589
G.f. A(x) satisfies A(x) = 1 + x / (1 - x·A(x2)). A218032
Site percolation series for triangular lattice: coefficients of the power series expansion in powers of q=1-p of the probability that a given site (not assumed to be open) belongs to the infinite cluster, where p is the probability that a site is open. A391390
Number of nX3 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically. A206878
Triangle of numbers of hybrid rooted trees (divided by Fibonacci numbers). A11274
a(n) = 2 + floor((1 + ∑j=1..n-1 a(j))/4). A120161
Number of nX6 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically. A206881