221123200 has 96 divisors (see below), whose sum is σ = 559294560. Its totient is φ = 86338560.

The previous prime is 221123191. The next prime is 221123213. The reversal of 221123200 is 2321122.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136797 + ... + 138403.

It is an arithmetic number, because the mean of its divisors is an integer number (5825985).

Almost surely, 2^221123200 is an apocalyptic number.

221123200 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 221123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279647280).

221123200 is an abundant number, since it is smaller than the sum of its proper divisors (338171360).

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

221123200 is a wasteful number, since it uses less digits than its factorization.

221123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1657 counting only the distinct ones).

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

The square root of 221123200 is about 14870.2118344024. The cubic root of 221123200 is about 604.7066856770.

Adding to 221123200 its reverse (2321122), we get a palindrome (223444322).

The spelling of 221123200 in words is "two hundred twenty-one million, one hundred twenty-three thousand, two hundred".