8221200 has 240 divisors, whose sum is σ = 30998016. Its totient is φ = 1843200.

The previous prime is 8221177. The next prime is 8221211. The reversal of 8221200 is 21228.

It is a tau number, because it is divible by the number of its divisors (240).

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 8221200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 265185 + ... + 265215.

Almost surely, 2^8221200 is an apocalyptic number.

8221200 is a gapful number since it is divisible by the number (80) 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 8221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

8221200 is an abundant number, since it is smaller than the sum of its proper divisors (22776816).

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

8221200 is a wasteful number, since it uses less digits than its factorization.

8221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8221200 is about 2867.2635037610. The cubic root of 8221200 is about 201.8266002052.

Adding to 8221200 its reverse (21228), we get a palindrome (8242428).

The spelling of 8221200 in words is "eight million, two hundred twenty-one thousand, two hundred".