33122320 has 160 divisors (see below), whose sum is σ = 101422080. Its totient is φ = 9745920.

The previous prime is 33122311. The next prime is 33122347. The reversal of 33122320 is 2322133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33122294 and 33122303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116899 + ... + 117181.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 2^33122320 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 33122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711040).

33122320 is an abundant number, since it is smaller than the sum of its proper divisors (68299760).

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

33122320 is a wasteful number, since it uses less digits than its factorization.

33122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33122320 is about 5755.1993883792. The cubic root of 33122320 is about 321.1492530301.

Adding to 33122320 its reverse (2322133), we get a palindrome (35444453).

The spelling of 33122320 in words is "thirty-three million, one hundred twenty-two thousand, three hundred twenty".