224430240 has 96 divisors (see below), whose sum is σ = 709128000. Its totient is φ = 59664384.

The previous prime is 224430233. The next prime is 224430259. The reversal of 224430240 is 42034422.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239052 + ... + 239988.

It is an arithmetic number, because the mean of its divisors is an integer number (7386750).

Almost surely, 2^224430240 is an apocalyptic number.

224430240 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 224430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354564000).

224430240 is an abundant number, since it is smaller than the sum of its proper divisors (484697760).

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

224430240 is a wasteful number, since it uses less digits than its factorization.

224430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 224430240 is about 14980.9959615508. The cubic root of 224430240 is about 607.7063736858.

Adding to 224430240 its reverse (42034422), we get a palindrome (266464662).

The spelling of 224430240 in words is "two hundred twenty-four million, four hundred thirty thousand, two hundred forty".