230305824 has 144 divisors (see below), whose sum is σ = 759507840. Its totient is φ = 64834560.

The previous prime is 230305813. The next prime is 230305843. The reversal of 230305824 is 428503032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142332 + ... + 143940.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^230305824 is an apocalyptic number.

230305824 is a gapful number since it is divisible by the number (24) 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 230305824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379753920).

230305824 is an abundant number, since it is smaller than the sum of its proper divisors (529202016).

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

230305824 is a wasteful number, since it uses less digits than its factorization.

230305824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230305824 is about 15175.8302573533. The cubic root of 230305824 is about 612.9640068035.

Adding to 230305824 its reverse (428503032), we get a palindrome (658808856).

The spelling of 230305824 in words is "two hundred thirty million, three hundred five thousand, eight hundred twenty-four".