Properties of the Number 22780

Twenty-Two Thousand Seven Hundred Eighty

Basics

Value: 22779 → 22780 → 22781

Parity: even

Prime: No

Previous Prime: 22777

Next Prime: 22783

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 17 × 67

Divisors: 1, 2, 4, 5, 10, 17, 20, 34, 67, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100011111100

Octal: 54374

Duodecimal: 11224

Hexadecimal: 58fc

Square: 518928400

Square Root: 150.93044755780724

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

Sums of groups in A075643. A75645

Number of permutations on n letters with cycle type set [k] for some k, row sums of A393036 and A392215. A393037

Expansion of ∏_k>=1 1/((1+x^k)*(1-x^k)⁴). A262380

a(n) = n⁴ + 14·n³ + 63·n² + 98·n + 28. A346376

Ten times hexagonal numbers: 10·n*(2·n-1). A144560

a(n) = 3·a(n-3) + 3·a(n-6) + a(n-9) for n>8, a(0)=0, a(1)=a(2)=1, a(3)=a(4)=2, a(5)=3, a(6)=7, a(7)=9, a(8)=11. A237988

Number of length n+4 0..3 arrays with no pair in any consecutive five terms totalling exactly 3. A246732

T(n,k)=Number of length n+4 0..k arrays with no pair in any consecutive five terms totalling exactly k. A246737

Place where n-th 1 occurs in A023118. A22780

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically. A207805