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230888 = 23721931
BaseRepresentation
bin111000010111101000
3102201201102
4320113220
524342023
64540532
71651100
oct702750
9381642
10230888
11148519
12b1748
1381128
1460200
1548628
hex385e8

230888 has 48 divisors (see below), whose sum is σ = 547200. Its totient is φ = 90720.

The previous prime is 230873. The next prime is 230891. The reversal of 230888 is 888032.

230888 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230888.

It is a congruent number.

It is an unprimeable number.

230888 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 11 ways as a sum of consecutive naturals, for example, 7433 + ... + 7463.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2230888 is an apocalyptic number.

230888 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 230888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

230888 is an abundant number, since it is smaller than the sum of its proper divisors (316312).

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

230888 is a wasteful number, since it uses less digits than its factorization.

230888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 230888 is about 480.5080644485. The cubic root of 230888 is about 61.3480063613.

It can be divided in two parts, 2 and 30888, that multiplied together give a triangular number (61776 = T351).

The spelling of 230888 in words is "two hundred thirty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 392 434 532 589 868 931 1064 1178 1519 1736 1862 2356 3038 3724 4123 4712 6076 7448 8246 12152 16492 28861 32984 57722 115444 230888