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225746134465157 is a prime number
BaseRepresentation
bin110011010101000010011110…
…001001110111101010000101
31002121022010020020211202001222
4303111002132021313222011
5214042111040410341112
62120042201551130125
765356422441403145
oct6325023611675205
91077263206752058
10225746134465157
1165a25441796a99
122139b143813945
1398c69cca420a7
143da6257b0c925
151b17295a30372
hexcd509e277a85

225746134465157 has 2 divisors, whose sum is σ = 225746134465158. Its totient is φ = 225746134465156.

The previous prime is 225746134465139. The next prime is 225746134465207. The reversal of 225746134465157 is 751564431647522.

225746134465157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155706124107076 + 70040010358081 = 12478226^2 + 8368991^2 .

It is a cyclic number.

It is not a de Polignac number, because 225746134465157 - 220 = 225746133416581 is a prime.

It is a super-2 number, since 2×2257461344651572 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225746134465157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225746134465757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112873067232578 + 112873067232579.

It is an arithmetic number, because the mean of its divisors is an integer number (112873067232579).

Almost surely, 2225746134465157 is an apocalyptic number.

It is an amenable number.

225746134465157 is a deficient number, since it is larger than the sum of its proper divisors (1).

225746134465157 is an equidigital number, since it uses as much as digits as its factorization.

225746134465157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 169344000, while the sum is 62.

The spelling of 225746134465157 in words is "two hundred twenty-five trillion, seven hundred forty-six billion, one hundred thirty-four million, four hundred sixty-five thousand, one hundred fifty-seven".