228686304 has 96 divisors (see below), whose sum is σ = 748452096. Its totient is φ = 59397120.

The previous prime is 228686281. The next prime is 228686317. The reversal of 228686304 is 403686822.

228686304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8077 + ... + 22860.

It is an arithmetic number, because the mean of its divisors is an integer number (7796376).

Almost surely, 2^228686304 is an apocalyptic number.

228686304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228686304 is an abundant number, since it is smaller than the sum of its proper divisors (519765792).

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

228686304 is a wasteful number, since it uses less digits than its factorization.

228686304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30960 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 228686304 is about 15122.3775908420. The cubic root of 228686304 is about 611.5238297029.

The spelling of 228686304 in words is "two hundred twenty-eight million, six hundred eighty-six thousand, three hundred four".