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230568 = 23313739
BaseRepresentation
bin111000010010101000
3102201021120
4320102220
524334233
64535240
71650132
oct702250
9381246
10230568
11148258
12b1520
1380c40
1460052
15484b3
hex384a8

230568 has 32 divisors (see below), whose sum is σ = 621600. Its totient is φ = 70848.

The previous prime is 230567. The next prime is 230597. The reversal of 230568 is 865032.

230568 is digitally balanced in base 3, 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).

It is not an unprimeable number, because it can be changed into a prime (230561) 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (19425).

2230568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310800).

230568 is an abundant number, since it is smaller than the sum of its proper divisors (391032).

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

230568 is a wasteful number, since it uses less digits than its factorization.

230568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 230568 is about 480.1749681106. The cubic root of 230568 is about 61.3196514325.

The spelling of 230568 in words is "two hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 739 1478 2217 2956 4434 5912 8868 9607 17736 19214 28821 38428 57642 76856 115284 230568