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231132 = 2231117103
BaseRepresentation
bin111000011011011100
3102202001110
4320123130
524344012
64542020
71651566
oct703334
9382043
10231132
11148720
12b1910
1381285
1460336
154873c
hex386dc

231132 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 65280.

The previous prime is 231131. The next prime is 231169.

It is a happy number.

231132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231131) 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, 2193 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2231132 is an apocalyptic number.

231132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

231132 is an abundant number, since it is smaller than the sum of its proper divisors (397860).

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

231132 is a wasteful number, since it uses less digits than its factorization.

231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 231132 is about 480.7618953287. The cubic root of 231132 is about 61.3696093949.

It can be divided in two parts, 231 and 132, that added together give a palindrome (363).

The spelling of 231132 in words is "two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 132 187 204 206 309 374 412 561 618 748 1122 1133 1236 1751 2244 2266 3399 3502 4532 5253 6798 7004 10506 13596 19261 21012 38522 57783 77044 115566 231132