829226349930 has 128 divisors (see below), whose sum is σ = 2197114232832. Its totient is φ = 200280168000.

The previous prime is 829226349907. The next prime is 829226349937. The reversal of 829226349930 is 39943622928.

It is a super-2 number, since 2×829226349930² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829226349937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10782715 + ... + 10859345.

It is an arithmetic number, because the mean of its divisors is an integer number (17164954944).

Almost surely, 2^829226349930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829226349930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098557116416).

829226349930 is an abundant number, since it is smaller than the sum of its proper divisors (1367887882902).

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

829226349930 is a wasteful number, since it uses less digits than its factorization.

829226349930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76945 (or 76923 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 829226349930 in words is "eight hundred twenty-nine billion, two hundred twenty-six million, three hundred forty-nine thousand, nine hundred thirty".