228506304 has 112 divisors (see below), whose sum is σ = 659538432. Its totient is φ = 69399552.

The previous prime is 228506303. The next prime is 228506309. The reversal of 228506304 is 403605822.

It is not an unprimeable number, because it can be changed into a prime (228506303) 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, 206617 + ... + 207719.

It is an arithmetic number, because the mean of its divisors is an integer number (5888736).

Almost surely, 2^228506304 is an apocalyptic number.

228506304 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 228506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329769216).

228506304 is an abundant number, since it is smaller than the sum of its proper divisors (431032128).

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

228506304 is a wasteful number, since it uses less digits than its factorization.

228506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 228506304 is about 15116.4249741796. The cubic root of 228506304 is about 611.3633432198.

The spelling of 228506304 in words is "two hundred twenty-eight million, five hundred six thousand, three hundred four".