33223229984 has 96 divisors (see below), whose sum is σ = 75347750016. Its totient is φ = 14125547520.

The previous prime is 33223229983. The next prime is 33223229989. The reversal of 33223229984 is 48992232233.

It is a super-2 number, since 2×33223229984² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33223229981) 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 15 ways as a sum of consecutive naturals, for example, 19929119 + ... + 19930785.

It is an arithmetic number, because the mean of its divisors is an integer number (784872396).

Almost surely, 2^33223229984 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 33223229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37673875008).

33223229984 is an abundant number, since it is smaller than the sum of its proper divisors (42124520032).

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

33223229984 is a wasteful number, since it uses less digits than its factorization.

33223229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2330 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 47.

The spelling of 33223229984 in words is "thirty-three billion, two hundred twenty-three million, two hundred twenty-nine thousand, nine hundred eighty-four".