822210256 has 160 divisors (see below), whose sum is σ = 2031298560. Its totient is φ = 314316288.

The previous prime is 822210247. The next prime is 822210307. The reversal of 822210256 is 652012228.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5236930 + ... + 5237086.

It is an arithmetic number, because the mean of its divisors is an integer number (12695616).

Almost surely, 2^822210256 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 822210256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015649280).

822210256 is an abundant number, since it is smaller than the sum of its proper divisors (1209088304).

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

822210256 is a wasteful number, since it uses less digits than its factorization.

822210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 822210256 is about 28674.2088992879. The cubic root of 822210256 is about 936.8303744682.

The spelling of 822210256 in words is "eight hundred twenty-two million, two hundred ten thousand, two hundred fifty-six".