33222000032 has 192 divisors, whose sum is σ = 80517991680. Its totient is φ = 13325942784.

The previous prime is 33222000029. The next prime is 33222000047. The reversal of 33222000032 is 23000022233.

It is a super-2 number, since 2×33222000032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713503 + ... + 4720545.

It is an arithmetic number, because the mean of its divisors is an integer number (419364540).

Almost surely, 2^33222000032 is an apocalyptic number.

33222000032 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 33222000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40258995840).

33222000032 is an abundant number, since it is smaller than the sum of its proper divisors (47295991648).

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

33222000032 is a wasteful number, since it uses less digits than its factorization.

33222000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 33222000032 its reverse (23000022233), we get a palindrome (56222022265).

The spelling of 33222000032 in words is "thirty-three billion, two hundred twenty-two million, thirty-two", and thus it is an aban number.