Properties of the Number 22769

Twenty-Two Thousand Seven Hundred Sixty-Nine

Basics

Value: 22768 → 22769 → 22770

Parity: odd

Prime: Yes

Previous Prime: 22751

Next Prime: 22777

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 22769

Divisors: 1, 22769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100011110001

Octal: 54361

Duodecimal: 11215

Hexadecimal: 58f1

Square: 518427361

Square Root: 150.89400253157845

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 of form n² + 10000. A256838

Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2. A126238

Numbers k such that 27·2^k-1 is prime. A50539

INVERT transform of the cubes A000578. A144109

Primes that are concatenations of k-th prime and k-th composite. A38531

Primes p that have exactly three primitive roots that are not primitive roots mod p². A60519

Primes whose reversal - 1 is a square. A167218

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of 1/(1 - ∑_j>=1 j^k*x^j). A320251

Number of partitions of n into parts not of the form 23k, 23k+8 or 23k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 10 are greater than 1. A35996

Rearrangement of primes such that every partial product minus 1 is a prime. A290427