228612600 has 288 divisors, whose sum is σ = 842624640. Its totient is φ = 55296000.

The previous prime is 228612581. The next prime is 228612611. The reversal of 228612600 is 6216822.

228612600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 948480 + ... + 948720.

It is an arithmetic number, because the mean of its divisors is an integer number (2925780).

Almost surely, 2^228612600 is an apocalyptic number.

228612600 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 228612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

228612600 is an abundant number, since it is smaller than the sum of its proper divisors (614012040).

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

228612600 is a wasteful number, since it uses less digits than its factorization.

228612600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228612600 is about 15119.9404760733. The cubic root of 228612600 is about 611.4581260227.

The spelling of 228612600 in words is "two hundred twenty-eight million, six hundred twelve thousand, six hundred".