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226225188 = 223271752807
BaseRepresentation
bin11010111101111…
…10110000100100
3120202200102121200
431132332300210
5430403201223
634240442500
75414611440
oct1536766044
9522612550
10226225188
11106775372
1263919430
1337b3a077
142208b820
1514cd9a43
hexd7bec24

226225188 has 72 divisors (see below), whose sum is σ = 691996032. Its totient is φ = 60832512.

The previous prime is 226225187. The next prime is 226225247. The reversal of 226225188 is 881522622.

226225188 is a `hidden beast` number, since 22 + 622 + 5 + 1 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226225187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22120 + ... + 30687.

It is an arithmetic number, because the mean of its divisors is an integer number (9611056).

Almost surely, 2226225188 is an apocalyptic number.

226225188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226225188 is an abundant number, since it is smaller than the sum of its proper divisors (465770844).

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

226225188 is a wasteful number, since it uses less digits than its factorization.

226225188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52841 (or 52836 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 226225188 is about 15040.7841550898. The cubic root of 226225188 is about 609.3221782064.

The spelling of 226225188 in words is "two hundred twenty-six million, two hundred twenty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 52807 105614 158421 211228 316842 369649 475263 633684 739298 897719 950526 1108947 1478596 1795438 1901052 2217894 2693157 3326841 3590876 4435788 5386314 6284033 6653682 8079471 10772628 12568066 13307364 16158942 18852099 25136132 32317884 37704198 56556297 75408396 113112594 226225188