228349800 has 288 divisors, whose sum is σ = 916012800. Its totient is φ = 52133760.

The previous prime is 228349783. The next prime is 228349837. The reversal of 228349800 is 8943822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264169 + ... + 265031.

It is an arithmetic number, because the mean of its divisors is an integer number (3180600).

Almost surely, 2^228349800 is an apocalyptic number.

228349800 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 228349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006400).

228349800 is an abundant number, since it is smaller than the sum of its proper divisors (687663000).

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

228349800 is a wasteful number, since it uses less digits than its factorization.

228349800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228349800 is about 15111.2474667051. The cubic root of 228349800 is about 611.2237370627.

The spelling of 228349800 in words is "two hundred twenty-eight million, three hundred forty-nine thousand, eight hundred".