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226113105456 = 24327224318557
BaseRepresentation
bin1101001010010101100…
…1000010111000110000
3210121122012200212221100
43102211121002320300
512201034423333311
6251512552324400
722223202453540
oct3224531027060
9717565625840
10226113105456
1187991a53897
12379a49a3700
1318426344574
14ad30219320
155d35c1aa56
hex34a5642e30

226113105456 has 60 divisors (see below), whose sum is σ = 723203030992. Its totient is φ = 64603744128.

The previous prime is 226113105403. The next prime is 226113105457. The reversal of 226113105456 is 654501311622.

226113105456 is a `hidden beast` number, since 2 + 2 + 611 + 31 + 0 + 5 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×2261131054562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226113105456.

It is not an unprimeable number, because it can be changed into a prime (226113105457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112158271 + ... + 112160286.

Almost surely, 2226113105456 is an apocalyptic number.

It is an amenable number.

226113105456 is an abundant number, since it is smaller than the sum of its proper divisors (497089925536).

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

226113105456 is a wasteful number, since it uses less digits than its factorization.

226113105456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224318578 (or 224318569 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 226113105456 in words is "two hundred twenty-six billion, one hundred thirteen million, one hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 224318557 448637114 672955671 897274228 1345911342 1570229899 1794548456 2018867013 2691822684 3140459798 3589096912 4037734026 4710689697 5383645368 6280919596 8075468052 9421379394 10767290736 12561839192 14132069091 16150936104 18842758788 25123678384 28264138182 32301872208 37685517576 56528276364 75371035152 113056552728 226113105456