230093520 has 80 divisors (see below), whose sum is σ = 719001600. Its totient is φ = 60867072.

The previous prime is 230093503. The next prime is 230093527. The reversal of 230093520 is 25390032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230093527) 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, 26706 + ... + 34254.

It is an arithmetic number, because the mean of its divisors is an integer number (8987520).

Almost surely, 2^230093520 is an apocalyptic number.

230093520 is a gapful number since it is divisible by the number (20) 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 230093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359500800).

230093520 is an abundant number, since it is smaller than the sum of its proper divisors (488908080).

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

230093520 is a wasteful number, since it uses less digits than its factorization.

230093520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 230093520 is about 15168.8338378400. The cubic root of 230093520 is about 612.7755983121.

The spelling of 230093520 in words is "two hundred thirty million, ninety-three thousand, five hundred twenty".