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225337349945641 is a prime number
BaseRepresentation
bin110011001111000101110000…
…101100101011100100101001
31002112212001002100122112201111
4303033011300230223210221
5214013411343041230031
62115130314404150321
765315041411332103
oct6317056054534451
91075761070575644
10225337349945641
116588804056a10a
1221333a7a6983a1
1398972b449b00b
143d90558dc6573
151b0b81cd211b1
hexccf170b2b929

225337349945641 has 2 divisors, whose sum is σ = 225337349945642. Its totient is φ = 225337349945640.

The previous prime is 225337349945599. The next prime is 225337349945677. The reversal of 225337349945641 is 146549943733522.

225337349945641 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., 188666707360000 + 36670642585641 = 13735600^2 + 6055629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225337349945641 is a prime.

It is not a weakly prime, because it can be changed into another prime (225337349945941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112668674972820 + 112668674972821.

It is an arithmetic number, because the mean of its divisors is an integer number (112668674972821).

Almost surely, 2225337349945641 is an apocalyptic number.

It is an amenable number.

225337349945641 is a deficient number, since it is larger than the sum of its proper divisors (1).

225337349945641 is an equidigital number, since it uses as much as digits as its factorization.

225337349945641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 587865600, while the sum is 67.

The spelling of 225337349945641 in words is "two hundred twenty-five trillion, three hundred thirty-seven billion, three hundred forty-nine million, nine hundred forty-five thousand, six hundred forty-one".