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226367215172664 = 23319939752827427
BaseRepresentation
bin110011011110000100111001…
…011100101111110000111000
31002200111111100102202200210220
4303132010321130233300320
5214132300024041011124
62121235355114140040
765452330421326626
oct6336047134576070
91080444312680726
10226367215172664
1166144884647105
122147b596421620
13994044bc31807
143dc83359d4516
151b284e643d879
hexcde13972fc38

226367215172664 has 64 divisors (see below), whose sum is σ = 595766602012800. Its totient is φ = 71476775236224.

The previous prime is 226367215172573. The next prime is 226367215172717. The reversal of 226367215172664 is 466271512763622.

It is a happy number.

It is a super-2 number, since 2×2263672151726642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226367215172598 and 226367215172607.

It is a congruent number.

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, 22128682 + ... + 30698745.

It is an arithmetic number, because the mean of its divisors is an integer number (9308853156450).

Almost surely, 2226367215172664 is an apocalyptic number.

226367215172664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226367215172664 is an abundant number, since it is smaller than the sum of its proper divisors (369399386840136).

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

226367215172664 is a wasteful number, since it uses less digits than its factorization.

226367215172664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52836852 (or 52836848 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 60.

The spelling of 226367215172664 in words is "two hundred twenty-six trillion, three hundred sixty-seven billion, two hundred fifteen million, one hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 9397 18794 28191 37588 56382 75176 112764 178543 225528 357086 535629 714172 1071258 1428344 2142516 4285032 52827427 105654854 158482281 211309708 316964562 422619416 633929124 1003721113 1267858248 2007442226 3011163339 4014884452 6022326678 8029768904 12044653356 24089306712 496419331519 992838663038 1489257994557 1985677326076 2978515989114 3971354652152 5957031978228 9431967298861 11914063956456 18863934597722 28295901896583 37727869195444 56591803793166 75455738390888 113183607586332 226367215172664