8221048900 has 27 divisors (see below), whose sum is σ = 17841643869. Its totient is φ = 3288056880.

The previous prime is 8221048897. The next prime is 8221048919. The reversal of 8221048900 is 98401228.

The square root of 8221048900 is 90670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2959577604 + 5261471296 = 54402^2 + 72536^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 902167 + ... + 911233.

Almost surely, 2^8221048900 is an apocalyptic number.

8221048900 is the 90670-th square number.

It is an amenable number.

8221048900 is an abundant number, since it is smaller than the sum of its proper divisors (9620594969).

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

8221048900 is an frugal number, since it uses more digits than its factorization.

8221048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18148 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 8221048900 is about 2018.2536371958.

Multiplying 8221048900 by its product of nonzero digits (9216), we get a square (75765186662400 = 8704320²).

The spelling of 8221048900 in words is "eight billion, two hundred twenty-one million, forty-eight thousand, nine hundred".