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225714464516358 = 23236375160766809
BaseRepresentation
bin110011010100100100111110…
…011110100110100100000110
31002121012002111010020122121100
4303110210332132212210012
5214041101210404010413
62120015443222200530
765354221563312666
oct6324447636464406
91077162433218540
10225714464516358
1165a12a6a945794
1221394b85583146
1398c3a236c2b0c
143da48d19a21a6
151b165404dba73
hexcd493e7a6906

225714464516358 has 48 divisors (see below), whose sum is σ = 489199272363360. Its totient is φ = 75214884624768.

The previous prime is 225714464516351. The next prime is 225714464516477. The reversal of 225714464516358 is 853615464417522.

225714464516358 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 4 + 4 + 64 + 516 + 3 + 58 = 666.

225714464516358 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225714464516295 and 225714464516304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225714464516351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378470458 + ... + 3378537266.

It is an arithmetic number, because the mean of its divisors is an integer number (10191651507570).

Almost surely, 2225714464516358 is an apocalyptic number.

225714464516358 is an abundant number, since it is smaller than the sum of its proper divisors (263484807847002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225714464516358 is a wasteful number, since it uses less digits than its factorization.

225714464516358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122061 (or 122058 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 225714464516358 in words is "two hundred twenty-five trillion, seven hundred fourteen billion, four hundred sixty-four million, five hundred sixteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 3637 7274 10911 21822 32733 51607 65466 66809 103214 133618 154821 200427 309642 400854 464463 601281 928926 1202562 187694659 242984333 375389318 485968666 563083977 728952999 1126167954 1457905998 1689251931 2186858997 3378503862 3447812063 4373717994 6895624126 10343436189 20686872378 31030308567 62060617134 12539692473131 25079384946262 37619077419393 75238154838786 112857232258179 225714464516358