224333231440 has 160 divisors (see below), whose sum is σ = 541652832000. Its totient is φ = 86351216640.

The previous prime is 224333231417. The next prime is 224333231449. The reversal of 224333231440 is 44132333422.

It is a happy number.

224333231440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224333231449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160351861 + ... + 160353259.

It is an arithmetic number, because the mean of its divisors is an integer number (3385330200).

Almost surely, 2^224333231440 is an apocalyptic number.

224333231440 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 224333231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270826416000).

224333231440 is an abundant number, since it is smaller than the sum of its proper divisors (317319600560).

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

224333231440 is a wasteful number, since it uses less digits than its factorization.

224333231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 224333231440 its reverse (44132333422), we get a palindrome (268465564862).

The spelling of 224333231440 in words is "two hundred twenty-four billion, three hundred thirty-three million, two hundred thirty-one thousand, four hundred forty".