221113200 has 240 divisors, whose sum is σ = 883443456. Its totient is φ = 45926400.

The previous prime is 221113187. The next prime is 221113201. The reversal of 221113200 is 2311122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91204 + ... + 93596.

Almost surely, 2^221113200 is an apocalyptic number.

221113200 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 221113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441721728).

221113200 is an abundant number, since it is smaller than the sum of its proper divisors (662330256).

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

221113200 is a wasteful number, since it uses less digits than its factorization.

221113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221113200 is about 14869.8755879126. The cubic root of 221113200 is about 604.6975698568.

Adding to 221113200 its reverse (2311122), we get a palindrome (223424322).

The spelling of 221113200 in words is "two hundred twenty-one million, one hundred thirteen thousand, two hundred".