224241332320 has 96 divisors (see below), whose sum is σ = 532577928960. Its totient is φ = 89222192640.

The previous prime is 224241332291. The next prime is 224241332321. The reversal of 224241332320 is 23233142422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224241332321) 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, 31093515 + ... + 31100725.

It is an arithmetic number, because the mean of its divisors is an integer number (5547686760).

Almost surely, 2^224241332320 is an apocalyptic number.

224241332320 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 224241332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266288964480).

224241332320 is an abundant number, since it is smaller than the sum of its proper divisors (308336596640).

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

224241332320 is a wasteful number, since it uses less digits than its factorization.

224241332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 224241332320 its reverse (23233142422), we get a palindrome (247474474742).

The spelling of 224241332320 in words is "two hundred twenty-four billion, two hundred forty-one million, three hundred thirty-two thousand, three hundred twenty".