228144816 has 80 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 75788352.

The previous prime is 228144803. The next prime is 228144817. The reversal of 228144816 is 618441822.

228144816 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).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228144817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157825 + ... + 159263.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2^228144816 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 228144816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

228144816 is an abundant number, since it is smaller than the sum of its proper divisors (428955984).

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

228144816 is a wasteful number, since it uses less digits than its factorization.

228144816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1811 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 228144816 is about 15104.4634462797. The cubic root of 228144816 is about 611.0407888031.

The spelling of 228144816 in words is "two hundred twenty-eight million, one hundred forty-four thousand, eight hundred sixteen".