228307200 has 432 divisors, whose sum is σ = 875943936. Its totient is φ = 51814400.

The previous prime is 228307181. The next prime is 228307213. The reversal of 228307200 is 2703822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4857577 + ... + 4857623.

It is an arithmetic number, because the mean of its divisors is an integer number (2027648).

Almost surely, 2^228307200 is an apocalyptic number.

228307200 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 228307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437971968).

228307200 is an abundant number, since it is smaller than the sum of its proper divisors (647636736).

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

228307200 is a wasteful number, since it uses less digits than its factorization.

228307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 228307200 is about 15109.8378548547. The cubic root of 228307200 is about 611.1857255696.

The spelling of 228307200 in words is "two hundred twenty-eight million, three hundred seven thousand, two hundred".