228700800 has 192 divisors, whose sum is σ = 837297600. Its totient is φ = 60963840.

The previous prime is 228700793. The next prime is 228700807. The reversal of 228700800 is 8007822.

It is an interprime number because it is at equal distance from previous prime (228700793) and next prime (228700807).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (228700807) by changing a digit.

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, 85077 + ... + 87723.

It is an arithmetic number, because the mean of its divisors is an integer number (4360925).

Almost surely, 2^228700800 is an apocalyptic number.

228700800 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 228700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418648800).

228700800 is an abundant number, since it is smaller than the sum of its proper divisors (608596800).

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

228700800 is a wasteful number, since it uses less digits than its factorization.

228700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 228700800 is about 15122.8568729589. The cubic root of 228700800 is about 611.5367505497.

The spelling of 228700800 in words is "two hundred twenty-eight million, seven hundred thousand, eight hundred".