Properties of the Number 22109

Twenty-Two Thousand One Hundred Nine

Basics

Value: 22108 → 22109 → 22110

Parity: odd

Prime: Yes

Previous Prime: 22093

Next Prime: 22111

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 22109

Divisors: 1, 22109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001011101

Octal: 53135

Duodecimal: 10965

Hexadecimal: 565d

Square: 488807881

Square Root: 148.69095466772686

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

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. A75585

Primes q = 4·p+1, where p == 2 (mod 5) is also prime. A221981

a(n) = k is the smallest number such that k³ + 1 has exactly n distinct prime factors. A219108

Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2. A1275

Incorrect duplicate of A297408. A7355

Primes p such that googol - p is prime. A108252

Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero with no three beads in a row equal. A208946

Numbers k such that the continued fraction for sqrt(k) has period 83. A20422

Smallest known example of a 3 X 3 X 3 generalized arithmetic progression (GAP) of 27 primes, listed in increasing order. A290967

Number of partitions λ of n that satisfy gcd(lambda_i, n-1) = 1 for all i. A323256