33212320 has 48 divisors (see below), whose sum is σ = 78871968. Its totient is φ = 13216000.

The previous prime is 33212317. The next prime is 33212321. The reversal of 33212320 is 2321233.

It is a super-2 number, since 2×33212320² = 2206116399564800, which contains 22 as substring.

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 = 33212294 and 33212303.

It is not an unprimeable number, because it can be changed into a prime (33212321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39747 + ... + 40573.

It is an arithmetic number, because the mean of its divisors is an integer number (1643166).

Almost surely, 2^33212320 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 33212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39435984).

33212320 is an abundant number, since it is smaller than the sum of its proper divisors (45659648).

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

33212320 is a wasteful number, since it uses less digits than its factorization.

33212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

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

The square root of 33212320 is about 5763.0131008007. The cubic root of 33212320 is about 321.4398656584.

Adding to 33212320 its reverse (2321233), we get a palindrome (35533553).

The spelling of 33212320 in words is "thirty-three million, two hundred twelve thousand, three hundred twenty".