221411442200 has 192 divisors, whose sum is σ = 584657892000. Its totient is φ = 77303255040.

The previous prime is 221411442199. The next prime is 221411442227. The reversal of 221411442200 is 2244114122.

221411442200 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 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 47 ways as a sum of consecutive naturals, for example, 28104662 + ... + 28112538.

Almost surely, 2^221411442200 is an apocalyptic number.

221411442200 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 221411442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292328946000).

221411442200 is an abundant number, since it is smaller than the sum of its proper divisors (363246449800).

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

221411442200 is a wasteful number, since it uses less digits than its factorization.

221411442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 221411442200 its reverse (2244114122), we get a palindrome (223655556322).

The spelling of 221411442200 in words is "two hundred twenty-one billion, four hundred eleven million, four hundred forty-two thousand, two hundred".