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22531841 is a prime number
BaseRepresentation
bin101010111110…
…0111100000001
31120101201212122
41111330330001
521232004331
62122534025
7362342333
oct125747401
946351778
1022531841
111179a562
127667315
13488b967
142dc7453
151ea117b
hex157cf01

22531841 has 2 divisors, whose sum is σ = 22531842. Its totient is φ = 22531840.

The previous prime is 22531829. The next prime is 22531843. The reversal of 22531841 is 14813522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18105025 + 4426816 = 4255^2 + 2104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22531841 is a prime.

Together with 22531843, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22531841.

It is not a weakly prime, because it can be changed into another prime (22531843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11265920 + 11265921.

It is an arithmetic number, because the mean of its divisors is an integer number (11265921).

Almost surely, 222531841 is an apocalyptic number.

It is an amenable number.

22531841 is a deficient number, since it is larger than the sum of its proper divisors (1).

22531841 is an equidigital number, since it uses as much as digits as its factorization.

22531841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 26.

The square root of 22531841 is about 4746.7716397569. The cubic root of 22531841 is about 282.4439171307.

The spelling of 22531841 in words is "twenty-two million, five hundred thirty-one thousand, eight hundred forty-one".