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230661132 = 2231313111287
BaseRepresentation
bin11011011111110…
…01110000001100
3121002000210120220
431233321300030
5433022124012
634515511340
75500405302
oct1557716014
9532023526
10230661132
11109225139
12652b8550
1338a311a0
14228c4272
15153b408c
hexdbf9c0c

230661132 has 48 divisors (see below), whose sum is σ = 584086272. Its totient is φ = 70424640.

The previous prime is 230661127. The next prime is 230661133. The reversal of 230661132 is 231166032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (230661133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14793 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (12168464).

Almost surely, 2230661132 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 230661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292043136).

230661132 is an abundant number, since it is smaller than the sum of its proper divisors (353425140).

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

230661132 is a wasteful number, since it uses less digits than its factorization.

230661132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 230661132 is about 15187.5321234228. The cubic root of 230661132 is about 613.2790648529.

The spelling of 230661132 in words is "two hundred thirty million, six hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 6812 10218 11287 20436 22574 33861 45148 67722 135444 146731 293462 440193 586924 880386 1478597 1760772 2957194 4435791 5914388 8871582 17743164 19221761 38443522 57665283 76887044 115330566 230661132