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231048 = 23323209
BaseRepresentation
bin111000011010001000
3102201221100
4320122020
524343143
64541400
71651416
oct703210
9381840
10231048
11148654
12b1860
138121c
14602b6
15486d3
hex38688

231048 has 24 divisors (see below), whose sum is σ = 625950. Its totient is φ = 76992.

The previous prime is 231041. The next prime is 231053. The reversal of 231048 is 840132.

It is a happy number.

231048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 39204 = 438^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 231048.

It is not an unprimeable number, because it can be changed into a prime (231041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1533 + ... + 1676.

2231048 is an apocalyptic number.

It is an amenable number.

231048 is an abundant number, since it is smaller than the sum of its proper divisors (394902).

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

231048 is a wasteful number, since it uses less digits than its factorization.

231048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231048 is about 480.6745260569. The cubic root of 231048 is about 61.3621740018.

The spelling of 231048 in words is "two hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3209 6418 9627 12836 19254 25672 28881 38508 57762 77016 115524 231048