228385200 has 60 divisors (see below), whose sum is σ = 731597768. Its totient is φ = 60902400.

The previous prime is 228385189. The next prime is 228385217. The reversal of 228385200 is 2583822.

228385200 is digitally balanced in base 2 and base 3, because in such bases 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93961 + ... + 96360.

Almost surely, 2^228385200 is an apocalyptic number.

228385200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228385200 is an abundant number, since it is smaller than the sum of its proper divisors (503212568).

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

228385200 is a wasteful number, since it uses less digits than its factorization.

228385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190342 (or 190331 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228385200 is about 15112.4187342728. The cubic root of 228385200 is about 611.2553204818.

The spelling of 228385200 in words is "two hundred twenty-eight million, three hundred eighty-five thousand, two hundred".