221204000 has 96 divisors (see below), whose sum is σ = 575645616. Its totient is φ = 83251200.

The previous prime is 221203993. The next prime is 221204063. The reversal of 221204000 is 402122.

It can be written as a sum of positive squares in 8 ways, for example, as 88585744 + 132618256 = 9412^2 + 11516^2 .

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 15 ways as a sum of consecutive naturals, for example, 66374 + ... + 69626.

Almost surely, 2^221204000 is an apocalyptic number.

221204000 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 221204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287822808).

221204000 is an abundant number, since it is smaller than the sum of its proper divisors (354441616).

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

221204000 is a wasteful number, since it uses less digits than its factorization.

221204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 221204000 is about 14872.9284271794. The cubic root of 221204000 is about 604.7803314246.

Adding to 221204000 its reverse (402122), we get a palindrome (221606122).

The spelling of 221204000 in words is "two hundred twenty-one million, two hundred four thousand".