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226138855320828 = 223243397367971113
BaseRepresentation
bin110011011010110000001110…
…001001000010110011111100
31002122200122220122102021020200
4303122300032021002303330
5214120024333430231303
62120542431142043500
765426664434530062
oct6332601611026374
91078618818367220
10226138855320828
1166066a4a44552a
1221443285119590
139924a5829c428
143dbb271250032
151b225cd3703a3
hexcdac0e242cfc

226138855320828 has 72 divisors (see below), whose sum is σ = 586395823501488. Its totient is φ = 73441146417408.

The previous prime is 226138855320817. The next prime is 226138855320863. The reversal of 226138855320828 is 828023558831622.

226138855320828 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 38 + 8 + 553 + 20 + 8 + 28 = 666.

It is a super-2 number, since 2×2261388553208282 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183371001 + ... + 184600112.

Almost surely, 2226138855320828 is an apocalyptic number.

It is an amenable number.

226138855320828 is an abundant number, since it is smaller than the sum of its proper divisors (360256968180660).

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

226138855320828 is a wasteful number, since it uses less digits than its factorization.

226138855320828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367971563 (or 367971558 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 226138855320828 in words is "two hundred twenty-six trillion, one hundred thirty-eight billion, eight hundred fifty-five million, three hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 397 516 774 794 1191 1548 1588 2382 3573 4764 7146 14292 17071 34142 51213 68284 102426 153639 204852 307278 614556 367971113 735942226 1103913339 1471884452 2207826678 3311740017 4415653356 6623480034 13246960068 15822757859 31645515718 47468273577 63291031436 94936547154 142404820731 146084531861 189873094308 284809641462 292169063722 438253595583 569619282924 584338127444 876507191166 1314760786749 1753014382332 2629521573498 5259043146996 6281634870023 12563269740046 18844904610069 25126539480092 37689809220138 56534713830207 75379618440276 113069427660414 226138855320828