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225729930457 is a prime number
BaseRepresentation
bin1101001000111010001…
…1010110010011011001
3210120122111200120122201
43102032203112103121
512144243330233312
6251410543450201
722210540515343
oct3221643262331
9716574616581
10225729930457
118780572a839
12378b85b6961
1318394b441b5
14acd5394293
155d1227c557
hex348e8d64d9

225729930457 has 2 divisors, whose sum is σ = 225729930458. Its totient is φ = 225729930456.

The previous prime is 225729930409. The next prime is 225729930463. The reversal of 225729930457 is 754039927522.

225729930457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154452144016 + 71277786441 = 393004^2 + 266979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225729930457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225729930398 and 225729930407.

It is not a weakly prime, because it can be changed into another prime (225729930497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112864965228 + 112864965229.

It is an arithmetic number, because the mean of its divisors is an integer number (112864965229).

Almost surely, 2225729930457 is an apocalyptic number.

It is an amenable number.

225729930457 is a deficient number, since it is larger than the sum of its proper divisors (1).

225729930457 is an equidigital number, since it uses as much as digits as its factorization.

225729930457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 225729930457 in words is "two hundred twenty-five billion, seven hundred twenty-nine million, nine hundred thirty thousand, four hundred fifty-seven".