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232266132 = 223276191489
BaseRepresentation
bin11011101100000…
…01100110010100
3121012001100020100
431312001212110
5433430004012
635014134100
75520141510
oct1566014624
9535040210
10232266132
1110a120a8a
1265951330
13391738a7
1422bc1140
15155ce8dc
hexdd81994

232266132 has 72 divisors (see below), whose sum is σ = 672526400. Its totient is φ = 66210048.

The previous prime is 232266119. The next prime is 232266143. The reversal of 232266132 is 231662232.

232266132 is a `hidden beast` number, since 23 + 2 + 26 + 613 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232266096 and 232266105.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 155244 + ... + 156732.

Almost surely, 2232266132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232266132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336263200).

232266132 is an abundant number, since it is smaller than the sum of its proper divisors (440260268).

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

232266132 is a wasteful number, since it uses less digits than its factorization.

232266132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2120 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 232266132 is about 15240.2799186892. The cubic root of 232266132 is about 614.6982299004.

The spelling of 232266132 in words is "two hundred thirty-two million, two hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 619 1238 1489 1857 2476 2978 3714 4333 4467 5571 5956 7428 8666 8934 10423 11142 12999 13401 17332 17868 20846 22284 25998 26802 31269 38997 41692 51996 53604 62538 77994 93807 125076 155988 187614 375228 921691 1843382 2765073 3686764 5530146 6451837 8295219 11060292 12903674 16590438 19355511 25807348 33180876 38711022 58066533 77422044 116133066 232266132