221303200 has 36 divisors (see below), whose sum is σ = 540258390. Its totient is φ = 88520960.

The previous prime is 221303189. The next prime is 221303209. The reversal of 221303200 is 2303122.

It is a happy number.

221303200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 151880976 + 69422224 = 12324^2 + 8332^2 .

It is not an unprimeable number, because it can be changed into a prime (221303209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 137515 + ... + 139114.

Almost surely, 2^221303200 is an apocalyptic number.

221303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221303200 is an abundant number, since it is smaller than the sum of its proper divisors (318955190).

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

221303200 is a wasteful number, since it uses less digits than its factorization.

221303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276649 (or 276636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 221303200 is about 14876.2629715934. The cubic root of 221303200 is about 604.8707234653.

Adding to 221303200 its reverse (2303122), we get a palindrome (223606322).

The spelling of 221303200 in words is "two hundred twenty-one million, three hundred three thousand, two hundred".