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225171472657 is a prime number
BaseRepresentation
bin1101000110110101000…
…1000000000100010001
3210112012120211222120111
43101231101000010101
512142122344111112
6251235314041321
722160646636445
oct3215521000421
9715176758514
10225171472657
118754947616a
1237781579241
13183062320b1
14ac81142825
155ccd2185a7
hex346d440111

225171472657 has 2 divisors, whose sum is σ = 225171472658. Its totient is φ = 225171472656.

The previous prime is 225171472639. The next prime is 225171472693. The reversal of 225171472657 is 756274171522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185678257216 + 39493215441 = 430904^2 + 198729^2 .

It is a cyclic number.

It is not a de Polignac number, because 225171472657 - 227 = 225037254929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225171472657.

It is not a weakly prime, because it can be changed into another prime (225171472627) 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, 112585736328 + 112585736329.

It is an arithmetic number, because the mean of its divisors is an integer number (112585736329).

Almost surely, 2225171472657 is an apocalyptic number.

It is an amenable number.

225171472657 is a deficient number, since it is larger than the sum of its proper divisors (1).

225171472657 is an equidigital number, since it uses as much as digits as its factorization.

225171472657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1646400, while the sum is 49.

The spelling of 225171472657 in words is "two hundred twenty-five billion, one hundred seventy-one million, four hundred seventy-two thousand, six hundred fifty-seven".