216200000 has 168 divisors, whose sum is σ = 571463424. Its totient is φ = 80960000.

The previous prime is 216199981. The next prime is 216200009. The reversal of 216200000 is 2612.

216200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216200009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4599977 + ... + 4600023.

It is an arithmetic number, because the mean of its divisors is an integer number (3401568).

Almost surely, 2^216200000 is an apocalyptic number.

216200000 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 216200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

216200000 is an abundant number, since it is smaller than the sum of its proper divisors (355263424).

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

216200000 is an frugal number, since it uses more digits than its factorization.

216200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 216200000 is about 14703.7410205702. The cubic root of 216200000 is about 600.1851280586.

Adding to 216200000 its reverse (2612), we get a palindrome (216202612).

The spelling of 216200000 in words is "two hundred sixteen million, two hundred thousand".