228718400 has 42 divisors (see below), whose sum is σ = 562794150. Its totient is φ = 91486720.

The previous prime is 228718367. The next prime is 228718421. The reversal of 228718400 is 4817822.

228718400 is digitally balanced in base 2, 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 3 ways, for example, as 14622976 + 214095424 = 3824^2 + 14632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69875 + ... + 73074.

Almost surely, 2^228718400 is an apocalyptic number.

228718400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228718400 is an abundant number, since it is smaller than the sum of its proper divisors (334075750).

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

228718400 is a wasteful number, since it uses less digits than its factorization.

228718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142971 (or 142956 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 228718400 is about 15123.4387623979. The cubic root of 228718400 is about 611.5524373783.

The spelling of 228718400 in words is "two hundred twenty-eight million, seven hundred eighteen thousand, four hundred".