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225730414566 = 23247457583853
BaseRepresentation
bin1101001000111010010…
…1001100011111100110
3210120122112121011201200
43102032211030133212
512144243441231231
6251411002103330
722210544602626
oct3221645143746
9716575534650
10225730414566
1187805a30528
12378b87aab46
1318394c83657
14acd547c886
155d12325be6
hex348e94c7e6

225730414566 has 48 divisors (see below), whose sum is σ = 500582407104. Its totient is φ = 73481277312.

The previous prime is 225730414561. The next prime is 225730414583. The reversal of 225730414566 is 665414037522.

225730414566 is a `hidden beast` number, since 2 + 2 + 5 + 73 + 0 + 4 + 14 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225730414561) 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, 94696 + ... + 678548.

It is an arithmetic number, because the mean of its divisors is an integer number (10428800148).

Almost surely, 2225730414566 is an apocalyptic number.

225730414566 is an abundant number, since it is smaller than the sum of its proper divisors (274851992538).

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

225730414566 is a wasteful number, since it uses less digits than its factorization.

225730414566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584365 (or 584362 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 225730414566 in words is "two hundred twenty-five billion, seven hundred thirty million, four hundred fourteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 457 846 914 1371 2742 4113 8226 21479 42958 64437 128874 193311 386622 583853 1167706 1751559 3503118 5254677 10509354 27441091 54882182 82323273 164646546 246969819 266820821 493939638 533641642 800462463 1600924926 2401387389 4802774778 12540578587 25081157174 37621735761 75243471522 112865207283 225730414566