228889800 has 240 divisors, whose sum is σ = 810216000. Its totient is φ = 59875200.

The previous prime is 228889783. The next prime is 228889823. The reversal of 228889800 is 8988822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1150101 + ... + 1150299.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2^228889800 is an apocalyptic number.

228889800 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 228889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

228889800 is an abundant number, since it is smaller than the sum of its proper divisors (581326200).

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

228889800 is a wasteful number, since it uses less digits than its factorization.

228889800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 228889800 is about 15129.1044017814. The cubic root of 228889800 is about 611.7051636345.

The spelling of 228889800 in words is "two hundred twenty-eight million, eight hundred eighty-nine thousand, eight hundred".