Properties of the Number 10224

Ten Thousand Two Hundred Twenty-Four

Basics

Value: 10223 → 10224 → 10225

Parity: even

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 71

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111110000

Octal: 23760

Duodecimal: 5B00

Hexadecimal: 27f0

Square: 104530176

Square Root: 101.11379727811631

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) = 2·a(n-1) - 10·a(n-2), with a(0) = 0, a(1) = 1. A190958

4 times hexagonal numbers: a(n) = 4·n*(2·n-1). A85250

Poincaré series for hyperbolic reflection group with Coxeter diagram o---o-(5)-o---o. A265044

Array read by antidiagonals: T(m,n) is the number of induced paths in the grid graph P_m X P_n. A360199

a(n) = 1·2*3·4 - 5·6*7·8 + 9·10·11·12 - 13·14·15·16 + ... - (up to n). A319544

a(n) = 4·3*2·1 - 8·7*6·5 + 12·11·10·9 - 16·15·14·13 + ... - (up to the n-th term). A319887

a(n) = ∑_k=0..n binomial(k+2,2) * binomial(k,n-k)². A377145

Numbers k for which A335915(k) = A335915(σ(k)). A336461

Expansion of ∑_k>0 x^4·k/(1+x^k)⁴. A363616

Numbers that reach the fixed point 89 under iteration of f(x) = reverse(x) - maxdigit(x). A97155