228871200 has 144 divisors (see below), whose sum is σ = 761201280. Its totient is φ = 59704320.

The previous prime is 228871199. The next prime is 228871211. The reversal of 228871200 is 2178822.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111786 + ... + 113814.

It is an arithmetic number, because the mean of its divisors is an integer number (5286120).

Almost surely, 2^228871200 is an apocalyptic number.

228871200 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 228871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380600640).

228871200 is an abundant number, since it is smaller than the sum of its proper divisors (532330080).

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

228871200 is a wasteful number, since it uses less digits than its factorization.

228871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 228871200 is about 15128.4896800705. The cubic root of 228871200 is about 611.6885937622.

The spelling of 228871200 in words is "two hundred twenty-eight million, eight hundred seventy-one thousand, two hundred".