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231264 = 25321173
BaseRepresentation
bin111000011101100000
3102202020100
4320131200
524400024
64542400
71652145
oct703540
9382210
10231264
11148830
12b1a00
1381357
14603cc
15487c9
hex38760

231264 has 72 divisors (see below), whose sum is σ = 727272. Its totient is φ = 69120.

The previous prime is 231241. The next prime is 231269. The reversal of 231264 is 462132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3132 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2231264 is an apocalyptic number.

231264 is a gapful number since it is divisible by the number (24) 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 231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363636).

231264 is an abundant number, since it is smaller than the sum of its proper divisors (496008).

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

231264 is a wasteful number, since it uses less digits than its factorization.

231264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 231264 is about 480.8991578283. The cubic root of 231264 is about 61.3812899451.

Adding to 231264 its reverse (462132), we get a palindrome (693396).

The spelling of 231264 in words is "two hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 132 144 146 176 198 219 264 288 292 352 396 438 528 584 657 792 803 876 1056 1168 1314 1584 1606 1752 2336 2409 2628 3168 3212 3504 4818 5256 6424 7008 7227 9636 10512 12848 14454 19272 21024 25696 28908 38544 57816 77088 115632 231264