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230868 = 223211253
BaseRepresentation
bin111000010111010100
3102201200200
4320113110
524341433
64540500
71651041
oct702724
9381620
10230868
11148500
12b1730
1381111
14601c8
1548613
hex385d4

230868 has 54 divisors (see below), whose sum is σ = 653562. Its totient is φ = 68640.

The previous prime is 230863. The next prime is 230873. The reversal of 230868 is 868032.

230868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230863) and next prime (230873).

It can be written as a sum of positive squares in only one way, i.e., 213444 + 17424 = 462^2 + 132^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230861) by changing a digit.

230868 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 17 ways as a sum of consecutive naturals, for example, 4330 + ... + 4382.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2230868 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 230868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326781).

230868 is an abundant number, since it is smaller than the sum of its proper divisors (422694).

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

230868 is a wasteful number, since it uses less digits than its factorization.

230868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230868 is about 480.4872526925. The cubic root of 230868 is about 61.3462349461.

The spelling of 230868 in words is "two hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 198 212 242 318 363 396 477 484 583 636 726 954 1089 1166 1452 1749 1908 2178 2332 3498 4356 5247 6413 6996 10494 12826 19239 20988 25652 38478 57717 76956 115434 230868