228534800 has 120 divisors (see below), whose sum is σ = 600586560. Its totient is φ = 83059200.

The previous prime is 228534737. The next prime is 228534811. The reversal of 228534800 is 8435822.

It is a super-2 number, since 2×228534800² = 104456309622080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 368891 + ... + 369509.

It is an arithmetic number, because the mean of its divisors is an integer number (5004888).

Almost surely, 2^228534800 is an apocalyptic number.

228534800 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 228534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

228534800 is an abundant number, since it is smaller than the sum of its proper divisors (372051760).

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

228534800 is a wasteful number, since it uses less digits than its factorization.

228534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 228534800 is about 15117.3674956984. The cubic root of 228534800 is about 611.3887556270.

The spelling of 228534800 in words is "two hundred twenty-eight million, five hundred thirty-four thousand, eight hundred".