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225286412041 is a prime number
BaseRepresentation
bin1101000111010000011…
…1011101011100001001
3210112111121010111202201
43101310013131130021
512142341310141131
6251254541400201
722163543622625
oct3216407353411
9715447114681
10225286412041
11875a8340899
12377b3b69061
1318323ca6772
14ac92502185
155cd836e761
hex34741dd709

225286412041 has 2 divisors, whose sum is σ = 225286412042. Its totient is φ = 225286412040.

The previous prime is 225286412023. The next prime is 225286412051. The reversal of 225286412041 is 140214682522.

225286412041 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., 225027845641 + 258566400 = 474371^2 + 16080^2 .

It is a cyclic number.

It is not a de Polignac number, because 225286412041 - 229 = 224749541129 is a prime.

It is not a weakly prime, because it can be changed into another prime (225286412051) 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, 112643206020 + 112643206021.

It is an arithmetic number, because the mean of its divisors is an integer number (112643206021).

Almost surely, 2225286412041 is an apocalyptic number.

It is an amenable number.

225286412041 is a deficient number, since it is larger than the sum of its proper divisors (1).

225286412041 is an equidigital number, since it uses as much as digits as its factorization.

225286412041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 225286412041 in words is "two hundred twenty-five billion, two hundred eighty-six million, four hundred twelve thousand, forty-one".