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225521036401 is a prime number
BaseRepresentation
bin1101001000001000011…
…0011110110001110001
3210120002221121122212211
43102002012132301301
512143331341131101
6251334122252121
722202423115643
oct3220206366161
9716087548784
10225521036401
1187708822621
123785a657041
131836079484b
14acb5738893
155cedc67c51
hex348219ec71

225521036401 has 2 divisors, whose sum is σ = 225521036402. Its totient is φ = 225521036400.

The previous prime is 225521036231. The next prime is 225521036459. The reversal of 225521036401 is 104630125522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222010592400 + 3510444001 = 471180^2 + 59249^2 .

It is a cyclic number.

It is not a de Polignac number, because 225521036401 - 213 = 225521028209 is a prime.

It is not a weakly prime, because it can be changed into another prime (225521036471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112760518200 + 112760518201.

It is an arithmetic number, because the mean of its divisors is an integer number (112760518201).

Almost surely, 2225521036401 is an apocalyptic number.

It is an amenable number.

225521036401 is a deficient number, since it is larger than the sum of its proper divisors (1).

225521036401 is an equidigital number, since it uses as much as digits as its factorization.

225521036401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 225521036401 in words is "two hundred twenty-five billion, five hundred twenty-one million, thirty-six thousand, four hundred one".