228136800 has 144 divisors (see below), whose sum is σ = 781824960. Its totient is φ = 57623040.

The previous prime is 228136789. The next prime is 228136807. The reversal of 228136800 is 8631822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228136807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43099 + ... + 48101.

It is an arithmetic number, because the mean of its divisors is an integer number (5429340).

Almost surely, 2^228136800 is an apocalyptic number.

228136800 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 228136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390912480).

228136800 is an abundant number, since it is smaller than the sum of its proper divisors (553688160).

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

228136800 is a wasteful number, since it uses less digits than its factorization.

228136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 228136800 is about 15104.1980919213. The cubic root of 228136800 is about 611.0336322955.

The spelling of 228136800 in words is "two hundred twenty-eight million, one hundred thirty-six thousand, eight hundred".