224003120 has 80 divisors (see below), whose sum is σ = 570418848. Its totient is φ = 81131520.

The previous prime is 224003119. The next prime is 224003123. The reversal of 224003120 is 21300422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 224003095 and 224003104.

It is not an unprimeable number, because it can be changed into a prime (224003123) 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, 401882 + ... + 402438.

Almost surely, 2^224003120 is an apocalyptic number.

224003120 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 224003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285209424).

224003120 is an abundant number, since it is smaller than the sum of its proper divisors (346415728).

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

224003120 is a wasteful number, since it uses less digits than its factorization.

224003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224003120 is about 14966.7337786172. The cubic root of 224003120 is about 607.3206140518.

Adding to 224003120 its reverse (21300422), we get a palindrome (245303542).

The spelling of 224003120 in words is "two hundred twenty-four million, three thousand, one hundred twenty".