224224441320 has 128 divisors (see below), whose sum is σ = 734749626240. Its totient is φ = 54288983040.

The previous prime is 224224441249. The next prime is 224224441339. The reversal of 224224441320 is 23144422422.

It is a happy number.

224224441320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224224441320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 945474 + ... + 1158606.

It is an arithmetic number, because the mean of its divisors is an integer number (5740231455).

Almost surely, 2^224224441320 is an apocalyptic number.

224224441320 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 224224441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367374813120).

224224441320 is an abundant number, since it is smaller than the sum of its proper divisors (510525184920).

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

224224441320 is a wasteful number, since it uses less digits than its factorization.

224224441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213955 (or 213951 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224224441320 its reverse (23144422422), we get a palindrome (247368863742).

The spelling of 224224441320 in words is "two hundred twenty-four billion, two hundred twenty-four million, four hundred forty-one thousand, three hundred twenty".