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226135433216655 = 32529372126576959
BaseRepresentation
bin110011011010101101000010…
…001010110000001010001111
31002122200100002011010100211200
4303122231002022300022033
5214120000331400413110
62120541103414320543
765426513562241014
oct6332550212601217
91078610064110750
10226135433216655
1166065553791a66
122144268b059153
139924631307511
143dbb02896b70b
151b2247cbed6c0
hexcdab422b028f

226135433216655 has 72 divisors (see below), whose sum is σ = 416739451564800. Its totient is φ = 113299541413632.

The previous prime is 226135433216647. The next prime is 226135433216663. The reversal of 226135433216655 is 556612334531622.

226135433216655 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 3 + 543 + 32 + 1 + 6 + 65 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (226135433216647) and next prime (226135433216663).

It is not a de Polignac number, because 226135433216655 - 23 = 226135433216647 is a prime.

It is a super-2 number, since 2×2261354332166552 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61501935 + ... + 65075024.

It is an arithmetic number, because the mean of its divisors is an integer number (5788047938400).

Almost surely, 2226135433216655 is an apocalyptic number.

226135433216655 is a deficient number, since it is larger than the sum of its proper divisors (190604018348145).

226135433216655 is a wasteful number, since it uses less digits than its factorization.

226135433216655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126577073 (or 126577033 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 226135433216655 in words is "two hundred twenty-six trillion, one hundred thirty-five billion, four hundred thirty-three million, two hundred sixteen thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 29 37 45 87 111 145 185 261 333 435 555 1073 1305 1369 1665 3219 4107 5365 6845 9657 12321 16095 20535 39701 48285 61605 119103 198505 357309 595515 1786545 126576959 379730877 632884795 1139192631 1898654385 3670731811 4683347483 5695963155 11012195433 14050042449 18353659055 23416737415 33036586299 42150127347 55060977165 70250212245 135817077007 165182931495 173283856871 210750636735 407451231021 519851570613 679085385035 866419284355 1222353693063 1559554711839 2037256155105 2599257853065 5025231849259 6111768465315 7797773559195 15075695547777 25126159246295 45227086643331 75378477738885 226135433216655