8213422224 has 160 divisors (see below), whose sum is σ = 25895485440. Its totient is φ = 2192601600.

The previous prime is 8213422181. The next prime is 8213422267. The reversal of 8213422224 is 4222243128.

It is an interprime number because it is at equal distance from previous prime (8213422181) and next prime (8213422267).

It is a super-3 number, since 3×8213422224³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8213422191 and 8213422200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288469 + ... + 315659.

It is an arithmetic number, because the mean of its divisors is an integer number (161846784).

Almost surely, 2^8213422224 is an apocalyptic number.

8213422224 is a gapful number since it is divisible by the number (84) 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 8213422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947742720).

8213422224 is an abundant number, since it is smaller than the sum of its proper divisors (17682063216).

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

8213422224 is a wasteful number, since it uses less digits than its factorization.

8213422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27269 (or 27263 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 8213422224 is about 90627.9329125408. The cubic root of 8213422224 is about 2017.6293320688.

The spelling of 8213422224 in words is "eight billion, two hundred thirteen million, four hundred twenty-two thousand, two hundred twenty-four".