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225131676552 = 233219592789321
BaseRepresentation
bin1101000110101011100…
…1001100001110001000
3210112002210222010120200
43101222321030032020
512142032202122202
6251231333052200
722156654451016
oct3215271141610
9715083863520
10225131676552
1187528a64822
1237770187060
13182cac0a2c3
14ac79b438b6
155cc99a6e1c
hex346ae4c388

225131676552 has 96 divisors (see below), whose sum is σ = 652701348000. Its totient is φ = 69889201920.

The previous prime is 225131676547. The next prime is 225131676563. The reversal of 225131676552 is 255676131522.

It is a happy number.

225131676552 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 31 + 67 + 6 + 552 = 666.

It is a super-2 number, since 2×2251316765522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225131676498 and 225131676507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313949 + ... + 1475372.

It is an arithmetic number, because the mean of its divisors is an integer number (6798972375).

Almost surely, 2225131676552 is an apocalyptic number.

It is an amenable number.

225131676552 is an abundant number, since it is smaller than the sum of its proper divisors (427569671448).

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

225131676552 is a wasteful number, since it uses less digits than its factorization.

225131676552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789411 (or 2789404 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 225131676552 in words is "two hundred twenty-five billion, one hundred thirty-one million, six hundred seventy-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 114 118 152 171 177 228 236 342 354 456 472 531 684 708 1062 1121 1368 1416 2124 2242 3363 4248 4484 6726 8968 10089 13452 20178 26904 40356 80712 2789321 5578642 8367963 11157284 16735926 22314568 25103889 33471852 50207778 52997099 66943704 100415556 105994198 158991297 164569939 200831112 211988396 317982594 329139878 423976792 476973891 493709817 635965188 658279756 953947782 987419634 1271930376 1316559512 1481129451 1907895564 1974839268 2962258902 3126828841 3815791128 3949678536 5924517804 6253657682 9380486523 11849035608 12507315364 18760973046 25014630728 28141459569 37521946092 56282919138 75043892184 112565838276 225131676552