228815104 has 216 divisors, whose sum is σ = 597686040. Its totient is φ = 86704128.

The previous prime is 228815033. The next prime is 228815107. The reversal of 228815104 is 401518822.

228815104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 113209600 + 115605504 = 10640^2 + 10752^2 .

It is not an unprimeable number, because it can be changed into a prime (228815107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6184174 + ... + 6184210.

It is an arithmetic number, because the mean of its divisors is an integer number (2767065).

Almost surely, 2^228815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298843020).

228815104 is an abundant number, since it is smaller than the sum of its proper divisors (368870936).

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

228815104 is a wasteful number, since it uses less digits than its factorization.

228815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 228815104 is about 15126.6355809876. The cubic root of 228815104 is about 611.6386150156.

The spelling of 228815104 in words is "two hundred twenty-eight million, eight hundred fifteen thousand, one hundred four".