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225746134465125 = 3533972626357737
BaseRepresentation
bin110011010101000010011110…
…001001110111101001100101
31002121022010020020211202000210
4303111002132021313221211
5214042111040410341000
62120042201551130033
765356422441403101
oct6325023611675145
91077263206752023
10225746134465125
1165a25441796a6a
122139b143813919
1398c69cca42081
143da6257b0c901
151b17295a30350
hexcd509e277a65

225746134465125 has 64 divisors (see below), whose sum is σ = 376608629988864. Its totient is φ = 120088016294400.

The previous prime is 225746134465123. The next prime is 225746134465139. The reversal of 225746134465125 is 521564431647522.

It is not a de Polignac number, because 225746134465125 - 21 = 225746134465123 is a prime.

It is a super-2 number, since 2×2257461344651252 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225746134465123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3909875257 + ... + 3909932993.

It is an arithmetic number, because the mean of its divisors is an integer number (5884509843576).

Almost surely, 2225746134465125 is an apocalyptic number.

225746134465125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225746134465125 is a deficient number, since it is larger than the sum of its proper divisors (150862495523739).

225746134465125 is a wasteful number, since it uses less digits than its factorization.

225746134465125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84415 (or 84405 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 57.

The spelling of 225746134465125 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 twenty-five".

Divisors: 1 3 5 15 25 75 125 375 397 1191 1985 5955 9925 26263 29775 49625 57737 78789 131315 148875 173211 288685 393945 656575 866055 1443425 1969725 3282875 4330275 7217125 9848625 10426411 21651375 22921589 31279233 52132055 68764767 114607945 156396165 260660275 343823835 573039725 781980825 1303301375 1516346831 1719119175 2865198625 3909904125 4549040493 7581734155 8595595875 22745202465 37908670775 113726012325 189543353875 568630061625 601989691907 1805969075721 3009948459535 9029845378605 15049742297675 45149226893025 75248711488375 225746134465125