224120240 has 40 divisors (see below), whose sum is σ = 524558688. Its totient is φ = 89049600.

The previous prime is 224120213. The next prime is 224120251. The reversal of 224120240 is 42021422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2804 + ... + 21356.

Almost surely, 2^224120240 is an apocalyptic number.

224120240 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 224120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262279344).

224120240 is an abundant number, since it is smaller than the sum of its proper divisors (300438448).

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

224120240 is a wasteful number, since it uses less digits than its factorization.

224120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 224120240 is about 14970.6459446478. The cubic root of 224120240 is about 607.4264414427.

Adding to 224120240 its reverse (42021422), we get a palindrome (266141662).

The spelling of 224120240 in words is "two hundred twenty-four million, one hundred twenty thousand, two hundred forty".