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226025613014432 = 25711317289372789
BaseRepresentation
bin110011011001000110110000…
…010111111011010110100000
31002122021211121121001001122112
4303121012300113323112200
5214111200423412430212
62120414422210254452
765415545253024230
oct6331066027732640
91078254547031575
10226025613014432
1166022a19086660
1221425340587428
13991717c14043a
143db59ab5cbcc0
151b1e6a17be422
hexcd91b05fb5a0

226025613014432 has 96 divisors (see below), whose sum is σ = 556540269586560. Its totient is φ = 87784128967680.

The previous prime is 226025613014429. The next prime is 226025613014503. The reversal of 226025613014432 is 234410316520622.

226025613014432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226025613014432.

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, 143905307 + ... + 145467482.

It is an arithmetic number, because the mean of its divisors is an integer number (5797294474860).

Almost surely, 2226025613014432 is an apocalyptic number.

226025613014432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226025613014432 is an abundant number, since it is smaller than the sum of its proper divisors (330514656572128).

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

226025613014432 is a wasteful number, since it uses less digits than its factorization.

226025613014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289373134 (or 289373126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 226025613014432 in words is "two hundred twenty-six trillion, twenty-five billion, six hundred thirteen million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 317 352 616 634 1232 1268 2219 2464 2536 3487 4438 5072 6974 8876 10144 13948 17752 24409 27896 35504 48818 55792 71008 97636 111584 195272 390544 781088 289372789 578745578 1157491156 2025609523 2314982312 3183100679 4051219046 4629964624 6366201358 8102438092 9259929248 12732402716 16204876184 22281704753 25464805432 32409752368 44563409506 50929610864 64819504736 89126819012 91731174113 101859221728 178253638024 183462348226 356507276048 366924696452 642118218791 713014552096 733849392904 1009042915243 1284236437582 1467698785808 2018085830486 2568472875164 2935397571616 4036171660972 5136945750328 7063300406701 8072343321944 10273891500656 14126600813402 16144686643888 20547783001312 28253201626804 32289373287776 56506403253608 113012806507216 226025613014432