230305320 has 192 divisors, whose sum is σ = 870480000. Its totient is φ = 51715584.

The previous prime is 230305223. The next prime is 230305333. The reversal of 230305320 is 23503032.

230305320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230305293 and 230305302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147906 + ... + 149454.

It is an arithmetic number, because the mean of its divisors is an integer number (4533750).

Almost surely, 2^230305320 is an apocalyptic number.

230305320 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 230305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240000).

230305320 is an abundant number, since it is smaller than the sum of its proper divisors (640174680).

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

230305320 is a wasteful number, since it uses less digits than its factorization.

230305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 230305320 is about 15175.8136519924. The cubic root of 230305320 is about 612.9635596675.

Adding to 230305320 its reverse (23503032), we get a palindrome (253808352).

The spelling of 230305320 in words is "two hundred thirty million, three hundred five thousand, three hundred twenty".