230228320 has 192 divisors, whose sum is σ = 677376000. Its totient is φ = 72161280.

The previous prime is 230228293. The next prime is 230228387. The reversal of 230228320 is 23822032.

It is a junction number, because it is equal to n+sod(n) for n = 230228291 and 230228300.

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 31 ways as a sum of consecutive naturals, for example, 659506 + ... + 659854.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^230228320 is an apocalyptic number.

230228320 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 230228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

230228320 is an abundant number, since it is smaller than the sum of its proper divisors (447147680).

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

230228320 is a wasteful number, since it uses less digits than its factorization.

230228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230228320 is about 15173.2765083880. The cubic root of 230228320 is about 612.8952395564.

The spelling of 230228320 in words is "two hundred thirty million, two hundred twenty-eight thousand, three hundred twenty".