33213200 has 60 divisors (see below), whose sum is σ = 81692688. Its totient is φ = 12969600.

The previous prime is 33213199. The next prime is 33213203. The reversal of 33213200 is 231233.

It is a super-2 number, since 2×33213200² = 2206233308480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33213203) 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 11 ways as a sum of consecutive naturals, for example, 16235 + ... + 18165.

Almost surely, 2^33213200 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 33213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40846344).

33213200 is an abundant number, since it is smaller than the sum of its proper divisors (48479488).

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

33213200 is a wasteful number, since it uses less digits than its factorization.

33213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33213200 is about 5763.0894492451. The cubic root of 33213200 is about 321.4427046108.

Adding to 33213200 its reverse (231233), we get a palindrome (33444433).

The spelling of 33213200 in words is "thirty-three million, two hundred thirteen thousand, two hundred".