228557200 has 60 divisors (see below), whose sum is σ = 559521108. Its totient is φ = 89689600.

The previous prime is 228557113. The next prime is 228557227. The reversal of 228557200 is 2755822.

It can be written as a sum of positive squares in 6 ways, for example, as 4276624 + 224280576 = 2068^2 + 14976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15810 + ... + 26590.

Almost surely, 2^228557200 is an apocalyptic number.

228557200 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 228557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279760554).

228557200 is an abundant number, since it is smaller than the sum of its proper divisors (330963908).

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

228557200 is a wasteful number, since it uses less digits than its factorization.

228557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 228557200 is about 15118.1083472768. The cubic root of 228557200 is about 611.4087302081.

The spelling of 228557200 in words is "two hundred twenty-eight million, five hundred fifty-seven thousand, two hundred".