224442244400 has 240 divisors, whose sum is σ = 610640249856. Its totient is φ = 78537600000.

The previous prime is 224442244399. The next prime is 224442244423. The reversal of 224442244400 is 4442244422.

It is a zygodrome in base 10.

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 47 ways as a sum of consecutive naturals, for example, 24683855 + ... + 24692945.

Almost surely, 2^224442244400 is an apocalyptic number.

224442244400 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 224442244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305320124928).

224442244400 is an abundant number, since it is smaller than the sum of its proper divisors (386198005456).

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

224442244400 is a wasteful number, since it uses less digits than its factorization.

224442244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 224442244400 its reverse (4442244422), we get a palindrome (228884488822).

It can be divided in two parts, 2244422 and 44400, that added together give a palindrome (2288822).

The spelling of 224442244400 in words is "two hundred twenty-four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred".