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225723747401 is a prime number
BaseRepresentation
bin1101001000111000101…
…1110000110001001001
3210120122002001110002122
43102032023300301021
512144240234404101
6251410203141025
722210434124055
oct3221613606111
9716562043078
10225723747401
1187802197379
12378b6514775
131839378aa99
14acd4624c65
155d1195a51b
hex348e2f0c49

225723747401 has 2 divisors, whose sum is σ = 225723747402. Its totient is φ = 225723747400.

The previous prime is 225723747397. The next prime is 225723747419. The reversal of 225723747401 is 104747327522.

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., 114057500176 + 111666247225 = 337724^2 + 334165^2 .

It is a cyclic number.

It is not a de Polignac number, because 225723747401 - 22 = 225723747397 is a prime.

It is not a weakly prime, because it can be changed into another prime (225723747001) 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, 112861873700 + 112861873701.

It is an arithmetic number, because the mean of its divisors is an integer number (112861873701).

Almost surely, 2225723747401 is an apocalyptic number.

It is an amenable number.

225723747401 is a deficient number, since it is larger than the sum of its proper divisors (1).

225723747401 is an equidigital number, since it uses as much as digits as its factorization.

225723747401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 225723747401 in words is "two hundred twenty-five billion, seven hundred twenty-three million, seven hundred forty-seven thousand, four hundred one".