224444420000 has 120 divisors (see below), whose sum is σ = 557864204436. Its totient is φ = 88851456000.

The previous prime is 224444419999. The next prime is 224444420033. The reversal of 224444420000 is 24444422.

It can be written as a sum of positive squares in 10 ways, for example, as 91298248336 + 133146171664 = 302156^2 + 364892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1882154 + ... + 1997846.

Almost surely, 2^224444420000 is an apocalyptic number.

224444420000 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 224444420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278932102218).

224444420000 is an abundant number, since it is smaller than the sum of its proper divisors (333419784436).

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

224444420000 is an equidigital number, since it uses as much as digits as its factorization.

224444420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115820 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 224444420000 its reverse (24444422), we get a palindrome (224468864422).

It can be divided in two parts, 22444 and 4420000, that added together give a palindrome (4442444).

The spelling of 224444420000 in words is "two hundred twenty-four billion, four hundred forty-four million, four hundred twenty thousand".