228240144 has 120 divisors (see below), whose sum is σ = 705088800. Its totient is φ = 68344320.

The previous prime is 228240119. The next prime is 228240149. The reversal of 228240144 is 441042822.

228240144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228240149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140167 + ... + 141785.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2^228240144 is an apocalyptic number.

228240144 is a gapful number since it is divisible by the number (24) 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 228240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352544400).

228240144 is an abundant number, since it is smaller than the sum of its proper divisors (476848656).

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

228240144 is a wasteful number, since it uses less digits than its factorization.

228240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 228240144 is about 15107.6187402251. The cubic root of 228240144 is about 611.1258826867.

Adding to 228240144 its reverse (441042822), we get a palindrome (669282966).

The spelling of 228240144 in words is "two hundred twenty-eight million, two hundred forty thousand, one hundred forty-four".