213732422200 has 192 divisors, whose sum is σ = 558563490720. Its totient is φ = 75396096000.

The previous prime is 213732422177. The next prime is 213732422213. The reversal of 213732422200 is 2224237312.

213732422200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9785692 + ... + 9807508.

Almost surely, 2^213732422200 is an apocalyptic number.

213732422200 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 213732422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279281745360).

213732422200 is an abundant number, since it is smaller than the sum of its proper divisors (344831068520).

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

213732422200 is a wasteful number, since it uses less digits than its factorization.

213732422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21978 (or 21969 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 213732422200 its reverse (2224237312), we get a palindrome (215956659512).

The spelling of 213732422200 in words is "two hundred thirteen billion, seven hundred thirty-two million, four hundred twenty-two thousand, two hundred".