822362112 has 360 divisors, whose sum is σ = 2878253280. Its totient is φ = 230031360.

The previous prime is 822362081. The next prime is 822362173. The reversal of 822362112 is 211263228.

822362112 is a `hidden beast` number, since 8 + 2 + 23 + 621 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63258618 + ... + 63258630.

It is an arithmetic number, because the mean of its divisors is an integer number (7995148).

Almost surely, 2^822362112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439126640).

822362112 is an abundant number, since it is smaller than the sum of its proper divisors (2055891168).

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

822362112 is a wasteful number, since it uses less digits than its factorization.

822362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 822362112 is about 28676.8567315178. The cubic root of 822362112 is about 936.8880460735. Note that the first 3 decimals are identical.

It can be divided in two parts, 82236 and 2112, that added together give a palindrome (84348).

The spelling of 822362112 in words is "eight hundred twenty-two million, three hundred sixty-two thousand, one hundred twelve".