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231864 = 2339661
BaseRepresentation
bin111000100110111000
3102210001120
4320212320
524404424
64545240
71653663
oct704670
9383046
10231864
11149226
12b2220
13816c9
14606da
1548a79
hex389b8

231864 has 16 divisors (see below), whose sum is σ = 579720. Its totient is φ = 77280.

The previous prime is 231859. The next prime is 231871. The reversal of 231864 is 468132.

Adding to 231864 its reverse (468132), we get a palindrome (699996).

It is a happy number.

231864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9661 = 231864 / (2 + 3 + 1 + 8 + 6 + 4).

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

231864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4807 + ... + 4854.

2231864 is an apocalyptic number.

231864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231864 is an abundant number, since it is smaller than the sum of its proper divisors (347856).

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

231864 is a wasteful number, since it uses less digits than its factorization.

231864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9666 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 231864 is about 481.5225851401. The cubic root of 231864 is about 61.4343274114.

The spelling of 231864 in words is "two hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 9661 19322 28983 38644 57966 77288 115932 231864