221553200 has 120 divisors (see below), whose sum is σ = 594682176. Its totient is φ = 78624000.

The previous prime is 221553173. The next prime is 221553221. The reversal of 221553200 is 2355122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 188615 + ... + 189785.

Almost surely, 2^221553200 is an apocalyptic number.

221553200 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 221553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297341088).

221553200 is an abundant number, since it is smaller than the sum of its proper divisors (373128976).

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

221553200 is a wasteful number, since it uses less digits than its factorization.

221553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 221553200 is about 14884.6632477863. The cubic root of 221553200 is about 605.0984062318.

The spelling of 221553200 in words is "two hundred twenty-one million, five hundred fifty-three thousand, two hundred".