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226025613014436 = 2232293117701182057
BaseRepresentation
bin110011011001000110110000…
…010111111011010110100100
31002122021211121121001001122200
4303121012300113323112210
5214111200423412430221
62120414422210254500
765415545253024234
oct6331066027732644
91078254547031580
10226025613014436
1166022a19086664
1221425340587430
13991717c140441
143db59ab5cbcc4
151b1e6a17be426
hexcd91b05fb5a4

226025613014436 has 72 divisors (see below), whose sum is σ = 573300516015864. Its totient is φ = 75083681164800.

The previous prime is 226025613014429. The next prime is 226025613014503. The reversal of 226025613014436 is 634410316520622.

226025613014436 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 2 + 561 + 30 + 14 + 43 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107051096902500 + 118974516111936 = 10346550^2 + 10907544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226025613014391 and 226025613014400.

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, 1241419120 + ... + 1241601176.

It is an arithmetic number, because the mean of its divisors is an integer number (7962507166887).

Almost surely, 2226025613014436 is an apocalyptic number.

It is an amenable number.

226025613014436 is an abundant number, since it is smaller than the sum of its proper divisors (347274903001428).

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

226025613014436 is a wasteful number, since it uses less digits than its factorization.

226025613014436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300061 (or 300056 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 226025613014436 in words is "two hundred twenty-six trillion, twenty-five billion, six hundred thirteen million, fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 117701 182057 235402 353103 364114 470804 546171 706206 728228 1059309 1092342 1412412 1638513 2118618 2184684 3277026 4237236 6554052 34486393 53342701 68972786 103459179 106685402 137945572 160028103 206918358 213370804 310377537 320056206 413836716 480084309 620755074 640112412 960168618 1241510148 1920337236 21428290957 42856581914 64284872871 85713163828 128569745742 192854618613 257139491484 385709237226 771418474452 6278489250401 12556978500802 18835467751203 25113957001604 37670935502406 56506403253609 75341871004812 113012806507218 226025613014436