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226680575256 = 233267283166043
BaseRepresentation
bin1101001100011100110…
…1110001010100011000
3210200002202111100011100
43103013031301110120
512203220211402011
6252045143231400
722243233045462
oct3230715612430
9720082440140
10226680575256
11881533032a3
1237b22a48560
13184b6a90605
14ad85735132
155d6a95ed56
hex34c7371518

226680575256 has 96 divisors (see below), whose sum is σ = 625295136960. Its totient is φ = 74168968896.

The previous prime is 226680575239. The next prime is 226680575263. The reversal of 226680575256 is 652575086622.

226680575256 is a `hidden beast` number, since 2 + 2 + 6 + 68 + 0 + 57 + 525 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282171 + ... + 1448213.

It is an arithmetic number, because the mean of its divisors is an integer number (6513491010).

Almost surely, 2226680575256 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 226680575256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312647568480).

226680575256 is an abundant number, since it is smaller than the sum of its proper divisors (398614561704).

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

226680575256 is a wasteful number, since it uses less digits than its factorization.

226680575256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166405 (or 166398 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 226680575256 in words is "two hundred twenty-six billion, six hundred eighty million, five hundred seventy-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 283 402 536 566 603 804 849 1132 1206 1608 1698 2264 2412 2547 3396 4824 5094 6792 10188 18961 20376 37922 56883 75844 113766 151688 166043 170649 227532 332086 341298 455064 498129 664172 682596 996258 1328344 1365192 1494387 1992516 2988774 3985032 5977548 11124881 11955096 22249762 33374643 44499524 46990169 66749286 88999048 93980338 100123929 133498572 140970507 187960676 200247858 266997144 281941014 375921352 400495716 422911521 563882028 800991432 845823042 1127764056 1691646084 3148341323 3383292168 6296682646 9445023969 12593365292 18890047938 25186730584 28335071907 37780095876 56670143814 75560191752 113340287628 226680575256