Properties of the Number 22191

Twenty-Two Thousand One Hundred Ninety-One

Basics

Value: 22190 → 22191 → 22192

Parity: odd

Prime: No

Previous Prime: 22189

Next Prime: 22193

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 569

Divisors: 1, 3, 13, 39, 569, 1707, 7397, 22191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011010101111

Octal: 53257

Duodecimal: 10A13

Hexadecimal: 56af

Square: 492440481

Square Root: 148.96643917339233

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

Total sum of the left-to-right minima in all compositions of n. A336512

Number of partitions of n into an even number of parts such that the set of even parts has only one element. A341494

Number of partitions of n with exactly one repeated part and that part is odd. A341497

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

a(n) = number of tuples (a,b,c,d) of natural numbers a,b,c,d <= n with gcd(a,b)=gcd(b,c)=gcd(c,d)=gcd(d,a)=1. A256391

a(1) = 2, thereafter a(n) = ∑_k=1..n-1 floor(a(n-k)/k). A100483

Number of compositions of n such that any part 1 can be m different colors where m is the largest part of the composition. A383101

The A161671(n)-th partial sum of A161671. A161778

Isolated deficient numbers that are divisible by 3. A273255

a(n) = ∑_k=0..n 4^n-k * floor(k/3). A368345