33022000 has 160 divisors (see below), whose sum is σ = 92851200. Its totient is φ = 11232000.

The previous prime is 33021983. The next prime is 33022049. The reversal of 33022000 is 22033.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 417961 + ... + 418039.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^33022000 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 33022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

33022000 is an abundant number, since it is smaller than the sum of its proper divisors (59829200).

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

33022000 is a wasteful number, since it uses less digits than its factorization.

33022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33022000 is about 5746.4771817175. The cubic root of 33022000 is about 320.8246957064.

Adding to 33022000 its reverse (22033), we get a palindrome (33044033).

The spelling of 33022000 in words is "thirty-three million, twenty-two thousand".