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22531 is a prime number
BaseRepresentation
bin101100000000011
31010220111
411200003
51210111
6252151
7122455
oct54003
933814
1022531
1115a23
1211057
13a342
1482d5
156a21
hex5803

22531 has 2 divisors, whose sum is σ = 22532. Its totient is φ = 22530.

The previous prime is 22511. The next prime is 22541. The reversal of 22531 is 13522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22531 - 211 = 20483 is a prime.

It is a super-2 number, since 2×225312 = 1015291922, which contains 22 as substring.

It is a plaindrome in base 7.

It is not a weakly prime, because it can be changed into another prime (22501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11265 + 11266.

It is an arithmetic number, because the mean of its divisors is an integer number (11266).

222531 is an apocalyptic number.

22531 is a deficient number, since it is larger than the sum of its proper divisors (1).

22531 is an equidigital number, since it uses as much as digits as its factorization.

22531 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 13.

The square root of 22531 is about 150.1032977652. The cubic root of 22531 is about 28.2440403018.

Subtracting from 22531 its reverse (13522), we obtain a palindrome (9009).

It can be divided in two parts, 225 and 31, that added together give a 8-th power (256 = 28).

The spelling of 22531 in words is "twenty-two thousand, five hundred thirty-one".