221213200 has 120 divisors (see below), whose sum is σ = 602739200. Its totient is φ = 77345280.

The previous prime is 221213183. The next prime is 221213221. The reversal of 221213200 is 2312122.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 97681 + ... + 99919.

Almost surely, 2^221213200 is an apocalyptic number.

221213200 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 221213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301369600).

221213200 is an abundant number, since it is smaller than the sum of its proper divisors (381526000).

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

221213200 is a wasteful number, since it uses less digits than its factorization.

221213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221213200 is about 14873.2377107340. The cubic root of 221213200 is about 604.7887156942.

Adding to 221213200 its reverse (2312122), we get a palindrome (223525322).

The spelling of 221213200 in words is "two hundred twenty-one million, two hundred thirteen thousand, two hundred".