216143200 has 144 divisors (see below), whose sum is σ = 649645920. Its totient is φ = 68382720.

The previous prime is 216143189. The next prime is 216143201. The reversal of 216143200 is 2341612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216143201) by changing a digit.

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, 71316 + ... + 74284.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^216143200 is an apocalyptic number.

216143200 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 216143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324822960).

216143200 is an abundant number, since it is smaller than the sum of its proper divisors (433502720).

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

216143200 is a wasteful number, since it uses less digits than its factorization.

216143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 216143200 is about 14701.8094124499. The cubic root of 216143200 is about 600.1325633021.

Adding to 216143200 its reverse (2341612), we get a palindrome (218484812).

The spelling of 216143200 in words is "two hundred sixteen million, one hundred forty-three thousand, two hundred".