8221435200 has 840 divisors, whose sum is σ = 33841822080. Its totient is φ = 1940889600.

The previous prime is 8221435193. The next prime is 8221435219. The reversal of 8221435200 is 25341228.

8221435200 is a `hidden beast` number, since 8 + 2 + 21 + 435 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104068761 + ... + 104068839.

Almost surely, 2^8221435200 is an apocalyptic number.

8221435200 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 8221435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920911040).

8221435200 is an abundant number, since it is smaller than the sum of its proper divisors (25620386880).

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

8221435200 is a wasteful number, since it uses less digits than its factorization.

8221435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8221435200 is about 90672.1302275401. The cubic root of 8221435200 is about 2018.2852487001.

Adding to 8221435200 its reverse (25341228), we get a palindrome (8246776428).

The spelling of 8221435200 in words is "eight billion, two hundred twenty-one million, four hundred thirty-five thousand, two hundred".