221187200 has 144 divisors (see below), whose sum is σ = 593112150. Its totient is φ = 81469440.

The previous prime is 221187199. The next prime is 221187229. The reversal of 221187200 is 2781122.

It can be written as a sum of positive squares in 9 ways, for example, as 2383936 + 218803264 = 1544^2 + 14792^2 .

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 17 ways as a sum of consecutive naturals, for example, 540596 + ... + 541004.

Almost surely, 2^221187200 is an apocalyptic number.

221187200 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 221187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296556075).

221187200 is an abundant number, since it is smaller than the sum of its proper divisors (371924950).

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

221187200 is a wasteful number, since it uses less digits than its factorization.

221187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 221187200 is about 14872.3636319181. The cubic root of 221187200 is about 604.7650204194.

The spelling of 221187200 in words is "two hundred twenty-one million, one hundred eighty-seven thousand, two hundred".