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225616310556156 = 223413229233908847
BaseRepresentation
bin110011010011001001100100…
…000010111101010111111100
31002120211201010121020211220000
4303103021210002331113330
5214032444201000244111
62115502411402154300
765344145333363502
oct6323114402752774
91076751117224800
10225616310556156
116598538155a713
1221379b51ab2990
1398b76b04a3120
143d9dc5dba0672
151b13be83a1c56
hexcd32640bd5fc

225616310556156 has 120 divisors (see below), whose sum is σ = 637948957504320. Its totient is φ = 69117257086848.

The previous prime is 225616310556149. The next prime is 225616310556179. The reversal of 225616310556156 is 651655013616522.

225616310556156 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 6 + 3 + 10 + 5 + 5 + 615 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115989876 + ... + 117918971.

It is an arithmetic number, because the mean of its divisors is an integer number (5316241312536).

Almost surely, 2225616310556156 is an apocalyptic number.

225616310556156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225616310556156 is an abundant number, since it is smaller than the sum of its proper divisors (412332646948164).

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

225616310556156 is a wasteful number, since it uses less digits than its factorization.

225616310556156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233909105 (or 233909094 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 225616310556156 in words is "two hundred twenty-five trillion, six hundred sixteen billion, three hundred ten million, five hundred fifty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 229 234 324 351 458 468 687 702 916 1053 1374 1404 2061 2106 2748 2977 4122 4212 5954 6183 8244 8931 11908 12366 17862 18549 24732 26793 35724 37098 53586 74196 80379 107172 160758 241137 321516 482274 964548 233908847 467817694 701726541 935635388 1403453082 2105179623 2806906164 3040815011 4210359246 6081630022 6315538869 8420718492 9122445033 12163260044 12631077738 18244890066 18946616607 25262155476 27367335099 36489780132 37893233214 53565125963 54734670198 75786466428 82102005297 107130251926 109469340396 160695377889 164204010594 214260503852 246306015891 321390755778 328408021188 482086133667 492612031782 642781511556 696346637519 964172267334 985224063564 1392693275038 1446258401001 1928344534668 2089039912557 2785386550076 2892516802002 4178079825114 4338775203003 5785033604004 6267119737671 8356159650228 8677550406006 12534239475342 17355100812012 18801359213013 25068478950684 37602718426026 56404077639039 75205436852052 112808155278078 225616310556156