Properties of the Number 22284

Twenty-Two Thousand Two Hundred Eighty-Four

Basics

Value: 22283 → 22284 → 22285

Parity: even

Prime: No

Previous Prime: 22283

Next Prime: 22291

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 619

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 619

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011100001100

Octal: 53414

Duodecimal: 10A90

Hexadecimal: 570c

Square: 496576656

Square Root: 149.27826365549674

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 integer compositions of n with all distinct first sums. A390567

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253801

Triangle where the g.f. of row n is: ∑_k=0..n²-n+1 T(n,k)*y^k = (2*(1+y)ⁿ - 1) * ((1+y)ⁿ - 1)^n-1 / y^n-1, as read by rows. A220265

Table read by downward antidiagonals: T(n,k) is the number of tilings of the n X k cylinder up to 180-degree rotation by two tiles that are each fixed under 180-degree rotation. A368262

Numerator of Hermite(n, 3/25). A160005

Numbers·such that the base 10 representation of x² forms an arithmetic sequence when split into equal-sized chunks. A244660

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253795

Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253793

a(n) = n*(27·n - 1)/2. A22284

Triangle, T(n, k) = ∑_j=0..k (-1)^j*(n+k)!/((n-j)!*(k -j)!*j!) + ∑_j=0..n-k (-1)^j*(2·n-k)!/((n-j)!*(n-k-j)!*j!), read by rows. A176093