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226525560513216 = 26322715713308369
BaseRepresentation
bin110011100000011000010111…
…100100010010001011000000
31002201001122001210110102202120
4303200120113210102023000
5214142343321442410331
62121440223400244240
765466634363451046
oct6340302744221300
91081048053412676
10226525560513216
11661a5a50445118
12214a6207a70680
1399523654384b3
143dd1c77866396
151b2c6b29d1796
hexce06179122c0

226525560513216 has 112 divisors (see below), whose sum is σ = 602372552895360. Its totient is φ = 75128008560640.

The previous prime is 226525560513151. The next prime is 226525560513221. The reversal of 226525560513216 is 612315065525622.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66816280 + ... + 70124648.

Almost surely, 2226525560513216 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 226525560513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301186276447680).

226525560513216 is an abundant number, since it is smaller than the sum of its proper divisors (375846992382144).

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

226525560513216 is a wasteful number, since it uses less digits than its factorization.

226525560513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310182 (or 3310172 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 226525560513216 in words is "two hundred twenty-six trillion, five hundred twenty-five billion, five hundred sixty million, five hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1571 1816 2724 3142 3632 4713 5448 6284 7264 9426 10896 12568 14528 18852 21792 25136 37704 43584 50272 75408 100544 150816 301632 356617 713234 1069851 1426468 2139702 2852936 3308369 4279404 5705872 6616738 8558808 9925107 11411744 13233476 17117616 19850214 22823488 26466952 34235232 39700428 52933904 68470464 79400856 105867808 158801712 211735616 317603424 635206848 750999763 1501999526 2252999289 3003999052 4505998578 5197447699 6007998104 9011997156 10394895398 12015996208 15592343097 18023994312 20789790796 24031992416 31184686194 36047988624 41579581592 48063984832 62369372388 72095977248 83159163184 124738744776 144191954496 166318326368 249477489552 332636652736 498954979104 997909958208 1179820627673 2359641255346 3539461883019 4719282510692 7078923766038 9438565021384 14157847532076 18877130042768 28315695064152 37754260085536 56631390128304 75508520171072 113262780256608 226525560513216