228833200 has 60 divisors (see below), whose sum is σ = 568758240. Its totient is φ = 88372480.

The previous prime is 228833167. The next prime is 228833201. The reversal of 228833200 is 2338822.

It is not an unprimeable number, because it can be changed into a prime (228833201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1737 + ... + 21463.

It is an arithmetic number, because the mean of its divisors is an integer number (9479304).

Almost surely, 2^228833200 is an apocalyptic number.

228833200 is a gapful number since it is divisible by the number (20) 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 228833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284379120).

228833200 is an abundant number, since it is smaller than the sum of its proper divisors (339925040).

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

228833200 is a wasteful number, since it uses less digits than its factorization.

228833200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 228833200 is about 15127.2337193553. The cubic root of 228833200 is about 611.6547385442.

The spelling of 228833200 in words is "two hundred twenty-eight million, eight hundred thirty-three thousand, two hundred".