228133836 has 288 divisors, whose sum is σ = 754790400. Its totient is φ = 56609280.

The previous prime is 228133831. The next prime is 228133837. The reversal of 228133836 is 638331822.

228133836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (41472) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 228133836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228133831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4304386 + ... + 4304438.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^228133836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228133836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

228133836 is an abundant number, since it is smaller than the sum of its proper divisors (526656564).

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

228133836 is a wasteful number, since it uses less digits than its factorization.

228133836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 228133836 is about 15104.0999731861. The cubic root of 228133836 is about 611.0309860594.

The spelling of 228133836 in words is "two hundred twenty-eight million, one hundred thirty-three thousand, eight hundred thirty-six".