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230891166 = 232114347577
BaseRepresentation
bin11011100001100…
…01111010011110
3121002110111010200
431300301322132
5433102004131
634524444330
75502354042
oct1560617236
9532414120
10230891166
11109371a50
12653a96a6
1338ab1abc
1422944022
151540c2e6
hexdc31e9e

230891166 has 96 divisors (see below), whose sum is σ = 571304448. Its totient is φ = 66769920.

The previous prime is 230891159. The next prime is 230891197. The reversal of 230891166 is 661198032.

It is a self number, because there is not a number n which added to its sum of digits gives 230891166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399870 + ... + 400446.

It is an arithmetic number, because the mean of its divisors is an integer number (5951088).

Almost surely, 2230891166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230891166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285652224).

230891166 is an abundant number, since it is smaller than the sum of its proper divisors (340413282).

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

230891166 is a wasteful number, since it uses less digits than its factorization.

230891166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 230891166 is about 15195.1033560157. The cubic root of 230891166 is about 613.4828676696.

The spelling of 230891166 in words is "two hundred thirty million, eight hundred ninety-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 47 66 86 94 99 129 141 198 258 282 387 423 473 517 577 774 846 946 1034 1154 1419 1551 1731 2021 2838 3102 3462 4042 4257 4653 5193 6063 6347 8514 9306 10386 12126 12694 18189 19041 22231 24811 27119 36378 38082 44462 49622 54238 57123 66693 74433 81357 114246 133386 148866 162714 200079 223299 244071 272921 298309 400158 446598 488142 545842 596618 818763 894927 1166117 1637526 1789854 2332234 2456289 2684781 3498351 4912578 5369562 6996702 10495053 12827287 20990106 25654574 38481861 76963722 115445583 230891166