221313200 has 60 divisors (see below), whose sum is σ = 533239680. Its totient is φ = 88270080.

The previous prime is 221313193. The next prime is 221313227. The reversal of 221313200 is 2313122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203057 + ... + 204143.

It is an arithmetic number, because the mean of its divisors is an integer number (8887328).

Almost surely, 2^221313200 is an apocalyptic number.

221313200 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 221313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266619840).

221313200 is an abundant number, since it is smaller than the sum of its proper divisors (311926480).

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

221313200 is a wasteful number, since it uses less digits than its factorization.

221313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221313200 is about 14876.5990737131. The cubic root of 221313200 is about 604.8798340673.

Adding to 221313200 its reverse (2313122), we get a palindrome (223626322).

The spelling of 221313200 in words is "two hundred twenty-one million, three hundred thirteen thousand, two hundred".