221911200 has 648 divisors, whose sum is σ = 989866332. Its totient is φ = 46448640.

The previous prime is 221911189. The next prime is 221911211. The reversal of 221911200 is 2119122.

It is an interprime number because it is at equal distance from previous prime (221911189) and next prime (221911211).

It can be written as a sum of positive squares in 6 ways, for example, as 160883856 + 61027344 = 12684^2 + 7812^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5997582 + ... + 5997618.

Almost surely, 2^221911200 is an apocalyptic number.

221911200 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 221911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494933166).

221911200 is an abundant number, since it is smaller than the sum of its proper divisors (767955132).

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

221911200 is a wasteful number, since it uses less digits than its factorization.

221911200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 221911200 is about 14896.6841948133. The cubic root of 221911200 is about 605.4241498982.

It can be divided in two parts, 221911 and 200, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 221911200 in words is "two hundred twenty-one million, nine hundred eleven thousand, two hundred".