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Properties of the Number 22123

Twenty-Two Thousand One Hundred Twenty-Three

Basics

Value: 22122 → 22123 → 22124

Parity: odd

Prime: Yes

Previous Prime: 22111

Next Prime: 22129

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 22123

Divisors: 1, 22123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011001101011

Octal: 53153

Duodecimal: 10977

Hexadecimal: 566b

Square: 489427129

Square Root: 148.73802472804323

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 whose base-3 representation also is the base-2 representation of a prime. A235265
a(n) = 82n3 - 1228n2 + 6130n - 5861. A76808
Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero. A88291
a(n) is the number of possible values of numbers of divisors of numbers k with ω(k) = n. A355027
Convolution of triangular numbers with partition numbers. A86716
Primes of the form abs(82n3 - 1228n2 + 6130n - 5861) in order of increasing nonnegative n. A272324
Primes which are the concatenation of numbers n1, n2, n3, in that order, with n1 + n2 = n3 (leading zeros are forbidden for nonzero ni). A67860
Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1. A96660
a(0) = 9; for n>0, a(n) is determined by the rule that the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence. A125004
Primes whose base-7 representation also is the base-4 representation of a prime. A235617