Properties of the Number 10229

Ten Thousand Two Hundred Twenty-Nine

Basics

Value: 10228 → 10229 → 10230

Parity: odd

Prime: No

Previous Prime: 10223

Next Prime: 10243

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 53 × 193

Divisors: 1, 53, 193, 10229

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111110101

Octal: 23765

Duodecimal: 5B05

Hexadecimal: 27f5

Square: 104632441

Square Root: 101.13851887386922

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

Dispersion of A047209, (numbers >1 and congruent to 1 or 4 mod 5), by antidiagonals. A191728

G.f.: exp(∑_k>=1 B(x^k)/k), where B(x) = x + 2·x² + 5·x³ + 14·x⁴ + 42·x⁵ + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108. A88327

Largest k such that round(1/(sqrt(prime(k+1))-sqrt(prime(k)))) = n where prime(n) denotes the n-th prime (conjectured values). A78693

First occurrence of just n semiprimes occurs between the a(n)-th prime and the next prime. A103669

Numbers of the form ((6k+5)²+9)/2 or 2(3k+4)²-9. A214493

Number of symmetrical n-celled polyominoes. A259090

a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0). A26039

Starting positions of strings of three 8's in the decimal expansion of π. A83637

Number of products of distinct factorials not exceeding n!. A101977

Consider the least number n such that n divided by π(n) rounded is greater than any previous n; a(n) is the denominator of n/π(n). A107614