228228800 has 84 divisors (see below), whose sum is σ = 570235080. Its totient is φ = 89886720.

The previous prime is 228228797. The next prime is 228228809. The reversal of 228228800 is 8822822.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (228228809) 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, 106136 + ... + 108264.

Almost surely, 2^228228800 is an apocalyptic number.

228228800 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 228228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285117540).

228228800 is an abundant number, since it is smaller than the sum of its proper divisors (342006280).

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

228228800 is a wasteful number, since it uses less digits than its factorization.

228228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 228228800 is about 15107.2432958498. The cubic root of 228228800 is about 611.1157577853.

The spelling of 228228800 in words is "two hundred twenty-eight million, two hundred twenty-eight thousand, eight hundred".