221300032200 has 192 divisors, whose sum is σ = 745709146560. Its totient is φ = 53964549120.

The previous prime is 221300032183. The next prime is 221300032279. The reversal of 221300032200 is 2230003122.

221300032200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221300032200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702022 + ... + 967178.

It is an arithmetic number, because the mean of its divisors is an integer number (3883901805).

Almost surely, 2^221300032200 is an apocalyptic number.

221300032200 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 221300032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372854573280).

221300032200 is an abundant number, since it is smaller than the sum of its proper divisors (524409114360).

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

221300032200 is a wasteful number, since it uses less digits than its factorization.

221300032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265296 (or 265287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221300032200 its reverse (2230003122), we get a palindrome (223530035322).

The spelling of 221300032200 in words is "two hundred twenty-one billion, three hundred million, thirty-two thousand, two hundred".