Properties of the Number 77220

Seventy-Seven Thousand Two Hundred Twenty

Basics

Value: 77219 → 77220 → 77221

Parity: even

Prime: No

Previous Prime: 77213

Next Prime: 77237

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 11 × 13

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110110100100

Octal: 226644

Duodecimal: 38830

Hexadecimal: 12da4

Square: 5962928400

Square Root: 277.8848682458259

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

Number of partitions of n such that if the length is k then k is not a part. A229816

Column of Motzkin triangle. A5323

Expansion of (1-x)/(1 - x - 4·x²). A52923

T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest, modulo 4. A239424

a(n) = Pochhammer(n, 5) / 2. A293615

Numbers with prime factorization p·q*r·s²*t³ (where p, q, r, s, t are distinct primes). A190111

Irregular triangle read by rows T(n,m), coefficients in power/Fourier series expansion of an arbitrary anharmonic oscillator's exact differential time dependence. A276815

a(n) = 2662·n + 22. A157613

Half the product of all numbers from A141468(n) up to prime(n). A161672

Number of nX2 0..3 arrays with no element equal to the sum of elements to its left or the sum of elements above it or the sum of the elements diagonally to its northwest, modulo 4. A239420