8223200 has 72 divisors (see below), whose sum is σ = 21170520. Its totient is φ = 3110400.

The previous prime is 8223199. The next prime is 8223217. The reversal of 8223200 is 23228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14930 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (294035).

Almost surely, 2^8223200 is an apocalyptic number.

8223200 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 8223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10585260).

8223200 is an abundant number, since it is smaller than the sum of its proper divisors (12947320).

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

8223200 is a wasteful number, since it uses less digits than its factorization.

8223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8223200 is about 2867.6122471492. The cubic root of 8223200 is about 201.8429652319.

Adding to 8223200 its reverse (23228), we get a palindrome (8246428).

The spelling of 8223200 in words is "eight million, two hundred twenty-three thousand, two hundred".