Properties of the Number 64224

Sixty-Four Thousand Two Hundred Twenty-Four

Basics

Value: 64223 → 64224 → 64225

Parity: even

Prime: No

Previous Prime: 64223

Next Prime: 64231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 223

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1111101011100000

Octal: 175340

Duodecimal: 31200

Hexadecimal: fae0

Square: 4124722176

Square Root: 253.42454498331452

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

Triangle T(n,k) read by rows: associated Stirling numbers of first kind (n >= 2, 1 <= k <= floor(n/2)). A8306

T(n, k) = [x^k] (-1)ⁿ*∑_k=0..n E2(n, n-k)*(1+x)^n-k where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n. A111999

Associated Stirling numbers. A276

Triangle T(n,k) read by rows: associated Stirling numbers of first kind (n >= 0 and 0 <= k <= floor(n/2)). A106828

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one, and every 2X2 determinant nonzero. A206010

Triangle read by rows, T(n, k) = ∑_m=0..k (-1)^{m + k}*binomial(n + k, n + m) * |Stirling1(n + m, m)|, for n >= 0, 0 <= k <= n. A269940

Triangle read by rows, giving coefficients in an expansion of absolute values of Stirling numbers of the first kind in terms of binomial coefficients. A259456

Triangle T(n,k) read by rows; related to number of preorders. A79510

a(n) = ∑_k=0..2n-1 T(n,k) * T(n,k+1), with T given by A027052. A27079

Triangle T(n, k) = n! * (Harmonic number(n-k) - Harmonic number(k)), read by rows. A157525