228295200 has 288 divisors, whose sum is σ = 863944704. Its totient is φ = 51287040.

The previous prime is 228295187. The next prime is 228295237. The reversal of 228295200 is 2592822.

228295200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 1797537 + ... + 1797663.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^228295200 is an apocalyptic number.

228295200 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 228295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431972352).

228295200 is an abundant number, since it is smaller than the sum of its proper divisors (635649504).

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

228295200 is a wasteful number, since it uses less digits than its factorization.

228295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 228295200 is about 15109.4407573543. The cubic root of 228295200 is about 611.1750172532.

The spelling of 228295200 in words is "two hundred twenty-eight million, two hundred ninety-five thousand, two hundred".