829229022 has 64 divisors (see below), whose sum is σ = 1877368320. Its totient is φ = 271252800.

The previous prime is 829229021. The next prime is 829229029. The reversal of 829229022 is 220922928.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829229021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199697 + ... + 1200387.

It is an arithmetic number, because the mean of its divisors is an integer number (29333880).

Almost surely, 2^829229022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829229022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938684160).

829229022 is an abundant number, since it is smaller than the sum of its proper divisors (1048139298).

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

829229022 is a wasteful number, since it uses less digits than its factorization.

829229022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 829229022 is about 28796.3369545503. The cubic root of 829229022 is about 939.4885636466.

The spelling of 829229022 in words is "eight hundred twenty-nine million, two hundred twenty-nine thousand, twenty-two".