224331120 has 200 divisors, whose sum is σ = 839383776. Its totient is φ = 55199232.

The previous prime is 224331109. The next prime is 224331137. The reversal of 224331120 is 21133422.

224331120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 224331093 and 224331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82909 + ... + 85571.

Almost surely, 2^224331120 is an apocalyptic number.

224331120 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 224331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419691888).

224331120 is an abundant number, since it is smaller than the sum of its proper divisors (615052656).

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

224331120 is a wasteful number, since it uses less digits than its factorization.

224331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 224331120 is about 14977.6874049367. The cubic root of 224331120 is about 607.6168956581.

Adding to 224331120 its reverse (21133422), we get a palindrome (245464542).

The spelling of 224331120 in words is "two hundred twenty-four million, three hundred thirty-one thousand, one hundred twenty".