230112 has 72 divisors (see below), whose sum is σ = 707616. Its totient is φ = 70656.

The previous prime is 230107. The next prime is 230117. The reversal of 230112 is 211032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230107) and next prime (230117).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 230094 and 230103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230117) by changing a digit.

230112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4873 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2²³⁰¹¹² 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 230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808).

230112 is an abundant number, since it is smaller than the sum of its proper divisors (477504).

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

230112 is a wasteful number, since it uses less digits than its factorization.

230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 230112 is about 479.6999061914. The cubic root of 230112 is about 61.2792002932.

Adding to 230112 its reverse (211032), we get a palindrome (441144).

The spelling of 230112 in words is "two hundred thirty thousand, one hundred twelve".