221422444400 has 120 divisors (see below), whose sum is σ = 557890483200. Its totient is φ = 84291736320.

The previous prime is 221422444391. The next prime is 221422444421. The reversal of 221422444400 is 4444224122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770329 + ... + 1891271.

It is an arithmetic number, because the mean of its divisors is an integer number (4649087360).

Almost surely, 2^221422444400 is an apocalyptic number.

221422444400 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 221422444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278945241600).

221422444400 is an abundant number, since it is smaller than the sum of its proper divisors (336468038800).

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

221422444400 is a wasteful number, since it uses less digits than its factorization.

221422444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121183 (or 121172 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 221422444400 its reverse (4444224122), we get a palindrome (225866668522).

The spelling of 221422444400 in words is "two hundred twenty-one billion, four hundred twenty-two million, four hundred forty-four thousand, four hundred".