229980320 has 96 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 88197120.

The previous prime is 229980319. The next prime is 229980323. The reversal of 229980320 is 23089922.

It is not an unprimeable number, because it can be changed into a prime (229980323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986924 + ... + 987156.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^229980320 is an apocalyptic number.

229980320 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 229980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

229980320 is an abundant number, since it is smaller than the sum of its proper divisors (336112480).

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

229980320 is a wasteful number, since it uses less digits than its factorization.

229980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 229980320 is about 15165.1020438374. The cubic root of 229980320 is about 612.6750919668.

The spelling of 229980320 in words is "two hundred twenty-nine million, nine hundred eighty thousand, three hundred twenty".