230024032 has 96 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 93308544.

The previous prime is 230024023. The next prime is 230024033. The reversal of 230024032 is 230420032.

It is a super-2 number, since 2×230024032² = 105822110595074048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 230023997 and 230024015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230024033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207993 + ... + 209095.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2^230024032 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 230024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

230024032 is an abundant number, since it is smaller than the sum of its proper divisors (326391968).

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

230024032 is a wasteful number, since it uses less digits than its factorization.

230024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 230024032 is about 15166.5431789845. The cubic root of 230024032 is about 612.7139062402.

Adding to 230024032 its reverse (230420032), we get a palindrome (460444064).

The spelling of 230024032 in words is "two hundred thirty million, twenty-four thousand, thirty-two".