228012800 has 108 divisors (see below), whose sum is σ = 589285200. Its totient is φ = 87183360.

The previous prime is 228012791. The next prime is 228012803. The reversal of 228012800 is 8210822.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228012803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146426 + ... + 147974.

Almost surely, 2^228012800 is an apocalyptic number.

228012800 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 228012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294642600).

228012800 is an abundant number, since it is smaller than the sum of its proper divisors (361272400).

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

228012800 is a wasteful number, since it uses less digits than its factorization.

228012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 228012800 is about 15100.0927149472. The cubic root of 228012800 is about 610.9229064765.

The spelling of 228012800 in words is "two hundred twenty-eight million, twelve thousand, eight hundred".