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225766522332 = 22321315119716217
BaseRepresentation
bin1101001001000010111…
…0111011110111011100
3210120202001112122021100
43102100232323313130
512144332212203312
6251414332033100
722211463530241
oct3222056736734
9716661478240
10225766522332
118782435285a
1237908902790
131839c5b66b0
14acda19b5c8
155d155a95dc
hex3490bbbddc

225766522332 has 144 divisors (see below), whose sum is σ = 621835486272. Its totient is φ = 68652057600.

The previous prime is 225766522313. The next prime is 225766522343. The reversal of 225766522332 is 233225667522.

225766522332 is a `hidden beast` number, since 2 + 2 + 576 + 6 + 52 + 23 + 3 + 2 = 666.

225766522332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13913488 + ... + 13929704.

It is an arithmetic number, because the mean of its divisors is an integer number (4318301988).

Almost surely, 2225766522332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225766522332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310917743136).

225766522332 is an abundant number, since it is smaller than the sum of its proper divisors (396068963940).

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

225766522332 is a wasteful number, since it uses less digits than its factorization.

225766522332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 16583 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 225766522332 in words is "two hundred twenty-five billion, seven hundred sixty-six million, five hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 197 234 302 394 453 468 591 604 788 906 1182 1359 1773 1812 1963 2364 2561 2718 3546 3926 5122 5436 5889 7092 7683 7852 10244 11778 15366 16217 17667 23049 23556 29747 30732 32434 35334 46098 48651 59494 64868 70668 89241 92196 97302 118988 145953 178482 194604 210821 267723 291906 356964 386711 421642 535446 583812 632463 773422 843284 1070892 1160133 1264926 1546844 1897389 2320266 2448767 2529852 3194749 3480399 3794778 4640532 4897534 6389498 6960798 7346301 7589556 9584247 9795068 12778996 13921596 14692602 19168494 22038903 28752741 29385204 31833971 38336988 41531737 44077806 57505482 63667942 83063474 88155612 95501913 115010964 124595211 127335884 166126948 191003826 249190422 286505739 373785633 382007652 482407099 498380844 573011478 747571266 964814198 1146022956 1447221297 1495142532 1929628396 2894442594 4341663891 5788885188 6271292287 8683327782 12542584574 17366655564 18813876861 25085169148 37627753722 56441630583 75255507444 112883261166 225766522332