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225613355460 = 223543122971153
BaseRepresentation
bin1101001000011110011…
…0101001100111000100
3210120100101022221211020
43102013212221213010
512144024004333320
6251351221111140
722204623610503
oct3220746514704
9716311287736
10225613355460
1187755948269
12378855584b0
13183769491cc
14acc3aca83a
155d06e01940
hex34879a99c4

225613355460 has 96 divisors (see below), whose sum is σ = 646943552640. Its totient is φ = 58715768832.

The previous prime is 225613355459. The next prime is 225613355483. The reversal of 225613355460 is 64553316522.

It is a happy number.

225613355460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3135244 + ... + 3206396.

It is an arithmetic number, because the mean of its divisors is an integer number (6738995340).

Almost surely, 2225613355460 is an apocalyptic number.

225613355460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225613355460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323471776320).

225613355460 is an abundant number, since it is smaller than the sum of its proper divisors (421330197180).

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

225613355460 is a wasteful number, since it uses less digits than its factorization.

225613355460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72437 (or 72435 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 225613355460 in words is "two hundred twenty-five billion, six hundred thirteen million, three hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1229 1290 2458 2580 3687 4916 6145 7374 12290 14748 18435 24580 36870 52847 71153 73740 105694 142306 158541 211388 213459 264235 284612 317082 355765 426918 528470 634164 711530 792705 853836 1056940 1067295 1423060 1585410 2134590 3059579 3170820 4269180 6119158 9178737 12238316 15297895 18357474 30595790 36714948 45893685 61191580 87447037 91787370 174894074 183574740 262341111 349788148 437235185 524682222 874470370 1049364444 1311705555 1748940740 2623411110 3760222591 5246822220 7520445182 11280667773 15040890364 18801112955 22561335546 37602225910 45122671092 56403338865 75204451820 112806677730 225613355460