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226565955 = 32572119341
BaseRepresentation
bin11011000000100…
…01111101000011
3120210022202001200
431200101331003
5431000102310
634252032243
75420531100
oct1540217503
9523282050
10226565955
111069883a0
1263a62683
1337c291c5
1422139aa7
1514d559c0
hexd811f43

226565955 has 72 divisors (see below), whose sum is σ = 498414384. Its totient is φ = 94147200.

The previous prime is 226565929. The next prime is 226565971. The reversal of 226565955 is 559565622.

226565955 is a `hidden beast` number, since 2 + 2 + 6 + 56 + 595 + 5 = 666.

It is not a de Polignac number, because 226565955 - 26 = 226565891 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 226565955.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19585 + ... + 28925.

It is an arithmetic number, because the mean of its divisors is an integer number (6922422).

Almost surely, 2226565955 is an apocalyptic number.

226565955 is an abundant number, since it is smaller than the sum of its proper divisors (271848429).

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

226565955 is a wasteful number, since it uses less digits than its factorization.

226565955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9367 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 226565955 is about 15052.1079919060. The cubic root of 226565955 is about 609.6279689748.

The spelling of 226565955 in words is "two hundred twenty-six million, five hundred sixty-five thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 9341 24255 28023 46705 65387 84069 102751 140115 196161 308253 326935 420345 457709 513755 588483 719257 924759 980805 1373127 1541265 2157771 2288545 2942415 3596285 4119381 4623795 5034799 6473313 6865635 10788855 15104397 20596905 25173995 32366565 45313191 75521985 226565955