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226464677815152 = 24374433705741057
BaseRepresentation
bin110011011111011111101010…
…101011001110001101110000
31002200211210220202220220220110
4303133133222223032031300
5214140344130010041102
62121352234200541320
765462350555165440
oct6337375253161560
91080753822826813
10226464677815152
1166182148782a27
1221496456481840
1399496b1b61c7a
143dccd3da7c120
151b2aceca1d86c
hexcdf7eaace370

226464677815152 has 160 divisors (see below), whose sum is σ = 670153684419072. Its totient is φ = 64554820042752.

The previous prime is 226464677815141. The next prime is 226464677815171. The reversal of 226464677815152 is 251518776464622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5515839808 + ... + 5515880864.

Almost surely, 2226464677815152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226464677815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335076842209536).

226464677815152 is an abundant number, since it is smaller than the sum of its proper divisors (443689006603920).

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

226464677815152 is a wasteful number, since it uses less digits than its factorization.

226464677815152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78575 (or 78569 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 226464677815152 in words is "two hundred twenty-six trillion, four hundred sixty-four billion, six hundred seventy-seven million, eight hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 443 886 1329 1772 2658 3101 3544 5316 6202 7088 9303 10632 12404 18606 21264 24808 37057 37212 41057 49616 74114 74424 82114 111171 123171 148228 148848 164228 222342 246342 259399 287399 296456 328456 444684 492684 518798 574798 592912 656912 778197 862197 889368 985368 1037596 1149596 1556394 1724394 1778736 1970736 2075192 2299192 3112788 3448788 4150384 4598384 6225576 6897576 12451152 13795152 16416251 18188251 32832502 36376502 49248753 54564753 65665004 72753004 98497506 109129506 114913757 127317757 131330008 145506008 196995012 218259012 229827514 254635514 262660016 291012016 344741271 381953271 393990024 436518024 459655028 509271028 689482542 763906542 787980048 873036048 919310056 1018542056 1378965084 1521449249 1527813084 1838620112 2037084112 2757930168 3042898498 3055626168 4564347747 5515860336 6085796996 6111252336 9128695494 10650144743 12171593992 18257390988 21300289486 24343187984 31950434229 36514781976 42600578972 63900868458 73029563952 85201157944 127801736916 170402315888 255603473832 511206947664 674002017307 1348004034614 2022006051921 2696008069228 4044012103842 4718014121149 5392016138456 8088024207684 9436028242298 10784032276912 14154042363447 16176048415368 18872056484596 28308084726894 32352096830736 37744112969192 56616169453788 75488225938384 113232338907576 226464677815152