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231168 = 283743
BaseRepresentation
bin111000011100000000
3102202002210
4320130000
524344133
64542120
71651650
oct703400
9382083
10231168
11148753
12b1940
13812b2
1460360
1548763
hex38700

231168 has 72 divisors (see below), whose sum is σ = 719488. Its totient is φ = 64512.

The previous prime is 231131. The next prime is 231169. The reversal of 231168 is 861132.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231169) by changing a digit.

231168 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 7 ways as a sum of consecutive naturals, for example, 5355 + ... + 5397.

2231168 is an apocalyptic number.

231168 is a gapful number since it is divisible by the number (28) 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 231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359744).

231168 is an abundant number, since it is smaller than the sum of its proper divisors (488320).

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

231168 is an equidigital number, since it uses as much as digits as its factorization.

231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 231168 is about 480.7993344421. The cubic root of 231168 is about 61.3727954404.

The spelling of 231168 in words is "two hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 516 602 672 688 768 896 903 1032 1204 1344 1376 1792 1806 2064 2408 2688 2752 3612 4128 4816 5376 5504 7224 8256 9632 11008 14448 16512 19264 28896 33024 38528 57792 77056 115584 231168