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22557232601 is a prime number
BaseRepresentation
bin10101000000100001…
…000000110111011001
32011020001102010220022
4111000201000313121
5332144122420401
614210155440225
71425663212351
oct250041006731
964201363808
1022557232601
119625a737a2
124456456075
132186425517
14113db93b61
158c04ee71b
hex540840dd9

22557232601 has 2 divisors, whose sum is σ = 22557232602. Its totient is φ = 22557232600.

The previous prime is 22557232567. The next prime is 22557232699. The reversal of 22557232601 is 10623275522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21526758400 + 1030474201 = 146720^2 + 32101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22557232601 is a prime.

It is a super-3 number, since 3×225572326013 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22557232001) 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, 11278616300 + 11278616301.

It is an arithmetic number, because the mean of its divisors is an integer number (11278616301).

Almost surely, 222557232601 is an apocalyptic number.

It is an amenable number.

22557232601 is a deficient number, since it is larger than the sum of its proper divisors (1).

22557232601 is an equidigital number, since it uses as much as digits as its factorization.

22557232601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 22557232601 in words is "twenty-two billion, five hundred fifty-seven million, two hundred thirty-two thousand, six hundred one".