8224100 has 18 divisors (see below), whose sum is σ = 17846514. Its totient is φ = 3289600.

The previous prime is 8224091. The next prime is 8224121. The reversal of 8224100 is 14228.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 7873636 = 592^2 + 2806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41021 + ... + 41220.

It is an arithmetic number, because the mean of its divisors is an integer number (991473).

Almost surely, 2^8224100 is an apocalyptic number.

It is an amenable number.

8224100 is an abundant number, since it is smaller than the sum of its proper divisors (9622414).

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

8224100 is a wasteful number, since it uses less digits than its factorization.

8224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82255 (or 82248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8224100 is about 2867.7691678376. The cubic root of 8224100 is about 201.8503286282.

Adding to 8224100 its product of nonzero digits (128), we get a palindrome (8224228).

Adding to 8224100 its reverse (14228), we get a palindrome (8238328).

The spelling of 8224100 in words is "eight million, two hundred twenty-four thousand, one hundred".