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225931797601 is a prime number
BaseRepresentation
bin1101001001101010010…
…1011010010001100001
3210121011120112111022121
43102122211122101201
512200202020010401
6251442554304241
722215541410316
oct3223245322141
9717146474277
10225931797601
11878a9678594
1237954128081
13183c7903303
14ad14100d0d
155d24d54ca1
hex349a95a461

225931797601 has 2 divisors, whose sum is σ = 225931797602. Its totient is φ = 225931797600.

The previous prime is 225931797599. The next prime is 225931797659. The reversal of 225931797601 is 106797139522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225648750625 + 283046976 = 475025^2 + 16824^2 .

It is a cyclic number.

It is not a de Polignac number, because 225931797601 - 21 = 225931797599 is a prime.

Together with 225931797599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (225931797101) 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, 112965898800 + 112965898801.

It is an arithmetic number, because the mean of its divisors is an integer number (112965898801).

Almost surely, 2225931797601 is an apocalyptic number.

It is an amenable number.

225931797601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225931797601 is an equidigital number, since it uses as much as digits as its factorization.

225931797601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 225931797601 in words is "two hundred twenty-five billion, nine hundred thirty-one million, seven hundred ninety-seven thousand, six hundred one".