228301200 has 120 divisors (see below), whose sum is σ = 812621600. Its totient is φ = 60877440.

The previous prime is 228301193. The next prime is 228301201. The reversal of 228301200 is 2103822.

It is a happy number.

228301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (228301201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231 + ... + 21369.

Almost surely, 2^228301200 is an apocalyptic number.

228301200 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 228301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406310800).

228301200 is an abundant number, since it is smaller than the sum of its proper divisors (584320400).

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

228301200 is a wasteful number, since it uses less digits than its factorization.

228301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21166 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228301200 is about 15109.6393074090. The cubic root of 228301200 is about 611.1803714583.

The spelling of 228301200 in words is "two hundred twenty-eight million, three hundred one thousand, two hundred".