228144240 has 120 divisors (see below), whose sum is σ = 784109040. Its totient is φ = 59415552.

The previous prime is 228144173. The next prime is 228144281. The reversal of 228144240 is 42441822.

228144240 is a `hidden beast` number, since 228 + 14 + 424 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 27276 + ... + 34644.

It is an arithmetic number, because the mean of its divisors is an integer number (6534242).

Almost surely, 2^228144240 is an apocalyptic number.

228144240 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 228144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392054520).

228144240 is an abundant number, since it is smaller than the sum of its proper divisors (555964800).

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

228144240 is a wasteful number, since it uses less digits than its factorization.

228144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7422 counting only the distinct ones).

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

The square root of 228144240 is about 15104.4443790561. Note that the first 3 decimals coincide. The cubic root of 228144240 is about 611.0402745687.

The spelling of 228144240 in words is "two hundred twenty-eight million, one hundred forty-four thousand, two hundred forty".