822258432 has 144 divisors (see below), whose sum is σ = 2445686880. Its totient is φ = 272498688.

The previous prime is 822258413. The next prime is 822258433. The reversal of 822258432 is 234852228.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×822258432² = 1352217857990197248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (822258433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329168 + ... + 2329520.

Almost surely, 2^822258432 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 822258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222843440).

822258432 is an abundant number, since it is smaller than the sum of its proper divisors (1623428448).

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

822258432 is a wasteful number, since it uses less digits than its factorization.

822258432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 695 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 822258432 is about 28675.0489450323. The cubic root of 822258432 is about 936.8486714340.

The spelling of 822258432 in words is "eight hundred twenty-two million, two hundred fifty-eight thousand, four hundred thirty-two".