228723200 has 120 divisors (see below), whose sum is σ = 575400672. Its totient is φ = 90091520.

The previous prime is 228723199. The next prime is 228723217. The reversal of 228723200 is 2327822.

228723200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228723200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369517 + ... + 1369683.

Almost surely, 2^228723200 is an apocalyptic number.

228723200 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 228723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287700336).

228723200 is an abundant number, since it is smaller than the sum of its proper divisors (346677472).

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

228723200 is a wasteful number, since it uses less digits than its factorization.

228723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 228723200 is about 15123.5974556320. The cubic root of 228723200 is about 611.5567154646.

The spelling of 228723200 in words is "two hundred twenty-eight million, seven hundred twenty-three thousand, two hundred".