33226232832 has 352 divisors, whose sum is σ = 106791171200. Its totient is φ = 10204766208.

The previous prime is 33226232813. The next prime is 33226232833. The reversal of 33226232832 is 23823262233.

33226232832 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 623 + 28 + 3 + 2 = 666.

It is a super-2 number, since 2×33226232832² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33226232833) by changing a digit.

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, 60742383 + ... + 60742929.

Almost surely, 2^33226232832 is an apocalyptic number.

33226232832 is a gapful number since it is divisible by the number (32) 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 33226232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395585600).

33226232832 is an abundant number, since it is smaller than the sum of its proper divisors (73564938368).

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

33226232832 is an equidigital number, since it uses as much as digits as its factorization.

33226232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 565 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 33226232832 in words is "thirty-three billion, two hundred twenty-six million, two hundred thirty-two thousand, eight hundred thirty-two".