8218200 has 48 divisors (see below), whose sum is σ = 25478280. Its totient is φ = 2191360.

The previous prime is 8218187. The next prime is 8218201. The reversal of 8218200 is 28128.

It is a super-2 number, since 2×8218200² = 135077622480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218201) 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 11 ways as a sum of consecutive naturals, for example, 6249 + ... + 7448.

Almost surely, 2^8218200 is an apocalyptic number.

It is an amenable number.

8218200 is an abundant number, since it is smaller than the sum of its proper divisors (17260080).

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

8218200 is a wasteful number, since it uses less digits than its factorization.

8218200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8218200 is about 2866.7403091316. The cubic root of 8218200 is about 201.8020476879.

The spelling of 8218200 in words is "eight million, two hundred eighteen thousand, two hundred".