228675200 has 192 divisors, whose sum is σ = 637459200. Its totient is φ = 80424960.

The previous prime is 228675191. The next prime is 228675229. The reversal of 228675200 is 2576822.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 956681 + ... + 956919.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^228675200 is an apocalyptic number.

228675200 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 228675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

228675200 is an abundant number, since it is smaller than the sum of its proper divisors (408784000).

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

228675200 is a wasteful number, since it uses less digits than its factorization.

228675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 228675200 is about 15122.0104483498. The cubic root of 228675200 is about 611.5139319078.

The spelling of 228675200 in words is "two hundred twenty-eight million, six hundred seventy-five thousand, two hundred".