228300800 has 288 divisors, whose sum is σ = 710892000. Its totient is φ = 72253440.

The previous prime is 228300799. The next prime is 228300851. The reversal of 228300800 is 8003822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17561594 + ... + 17561606.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2^228300800 is an apocalyptic number.

228300800 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 228300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355446000).

228300800 is an abundant number, since it is smaller than the sum of its proper divisors (482591200).

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

228300800 is an equidigital number, since it uses as much as digits as its factorization.

228300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 228300800 is about 15109.6260708199. The cubic root of 228300800 is about 611.1800145142.

The spelling of 228300800 in words is "two hundred twenty-eight million, three hundred thousand, eight hundred".