822224 has 40 divisors (see below), whose sum is σ = 1770720. Its totient is φ = 367488.

The previous prime is 822223. The next prime is 822229. The reversal of 822224 is 422228.

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 = 822196 and 822205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12239 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2⁸²²²²⁴ 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 822224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885360).

822224 is an abundant number, since it is smaller than the sum of its proper divisors (948496).

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

822224 is a wasteful number, since it uses less digits than its factorization.

822224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 822224 is about 906.7656808680. The cubic root of 822224 is about 93.6835594433.

The spelling of 822224 in words is "eight hundred twenty-two thousand, two hundred twenty-four".