9829223136 has 72 divisors (see below), whose sum is σ = 28058350320. Its totient is φ = 3263924736.

The previous prime is 9829223099. The next prime is 9829223171. The reversal of 9829223136 is 6313229289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9829223136² (a number of 21 digits) contains 22 as substring.

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 = 9829223091 and 9829223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10860 + ... + 140628.

It is an arithmetic number, because the mean of its divisors is an integer number (389699310).

Almost surely, 2^9829223136 is an apocalyptic number.

9829223136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9829223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029175160).

9829223136 is an abundant number, since it is smaller than the sum of its proper divisors (18229127184).

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

9829223136 is a wasteful number, since it uses less digits than its factorization.

9829223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130048 (or 130037 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9829223136 is about 99142.4386224184. The cubic root of 9829223136 is about 2142.0999516583.

The spelling of 9829223136 in words is "nine billion, eight hundred twenty-nine million, two hundred twenty-three thousand, one hundred thirty-six".