221223200 has 144 divisors (see below), whose sum is σ = 615335616. Its totient is φ = 76876800.

The previous prime is 221223187. The next prime is 221223203. The reversal of 221223200 is 2322122.

It is not an unprimeable number, because it can be changed into a prime (221223203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 201854 + ... + 202946.

It is an arithmetic number, because the mean of its divisors is an integer number (4273164).

Almost surely, 2^221223200 is an apocalyptic number.

221223200 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 221223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307667808).

221223200 is an abundant number, since it is smaller than the sum of its proper divisors (394112416).

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

221223200 is a wasteful number, since it uses less digits than its factorization.

221223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221223200 is about 14873.5738812163. The cubic root of 221223200 is about 604.7978287671.

Adding to 221223200 its reverse (2322122), we get a palindrome (223545322).

The spelling of 221223200 in words is "two hundred twenty-one million, two hundred twenty-three thousand, two hundred".