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228648938265 = 33511179057197
BaseRepresentation
bin1101010011110010001…
…0011110101100011001
3210212011221022112121000
43110330202132230121
512221233112011030
6253012340135213
722343063623236
oct3247442365431
9725157275530
10228648938265
1188a73401590
1238392097509
131873b80b857
14b0d0d1678d
155e33673860
hex353c89eb19

228648938265 has 64 divisors (see below), whose sum is σ = 469525144320. Its totient is φ = 104338897920.

The previous prime is 228648938249. The next prime is 228648938281. The reversal of 228648938265 is 562839846822.

228648938265 is a `hidden beast` number, since 2 + 286 + 4 + 8 + 93 + 8 + 265 = 666.

It is an interprime number because it is at equal distance from previous prime (228648938249) and next prime (228648938281).

It is not a de Polignac number, because 228648938265 - 24 = 228648938249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4503354 + ... + 4553843.

It is an arithmetic number, because the mean of its divisors is an integer number (7336330380).

Almost surely, 2228648938265 is an apocalyptic number.

It is an amenable number.

228648938265 is an abundant number, since it is smaller than the sum of its proper divisors (240876206055).

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

228648938265 is a wasteful number, since it uses less digits than its factorization.

228648938265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057239 (or 9057233 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 228648938265 in words is "two hundred twenty-eight billion, six hundred forty-eight million, nine hundred thirty-eight thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 8415 25245 9057197 27171591 45285985 81514773 99629167 135857955 153972349 244544319 298887501 407573865 461917047 498145835 769861745 896662503 1222721595 1385751141 1494437505 1693695839 2309585235 2689987509 4157253423 4483312515 5081087517 6928755705 8468479195 13449937545 15243262551 20786267115 25405437585 45729787653 76216312755 228648938265