Properties of the Number 19225

Nineteen Thousand Two Hundred Twenty-Five

Basics

Value: 19224 → 19225 → 19226

Parity: odd

Prime: No

Previous Prime: 19219

Next Prime: 19231

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 769

Divisors: 1, 5, 25, 769, 3845, 19225

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100011001

Octal: 45431

Duodecimal: B161

Hexadecimal: 4b19

Square: 369600625

Square Root: 138.6542462386205

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

Free polyominoes with 4n squares, having 90-degree rotational symmetry about a square corner, but not having reflective symmetry. A234007

Bitwise XOR of trajectories (centrally aligned) of rule 30, and its mirror image, rule 86, when both are started from a lone 1-bit, with the latter delayed by one step: a(n) = A110240(n) XOR 2·A265281(n-1). A327976

a(n) = ∑_{1 <= i, j <= n} gcd(i, j, n)³. A368743

Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n). A255410

Number of partitions of n into distinct parts with 3 levels of parentheses. A50344

Coefficient triangle of polynomials (rising powers) related to Fibonacci convolutions. Companion triangle to A057995. A57280

Coefficient triangle of polynomials (falling powers) related to Fibonacci convolutions. Companion triangle to A057281. A57282

a(n) = 1 + n + n[n/2] + n[n/2][n/3] +... + n[n/2][n/3]...[n/n], where [x]=ceiling(x). A75887

Numbers n such that n!*3ⁿ - 1 is prime. A121859

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2·b(n-1) - b(n-2) - 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294426