33242200 has 48 divisors (see below), whose sum is σ = 78410160. Its totient is φ = 13104000.

The previous prime is 33242171. The next prime is 33242219. The reversal of 33242200 is 224233.

It is a super-2 number, since 2×33242200² = 2210087721680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13030 + ... + 15370.

It is an arithmetic number, because the mean of its divisors is an integer number (1633545).

Almost surely, 2^33242200 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 33242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39205080).

33242200 is an abundant number, since it is smaller than the sum of its proper divisors (45167960).

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

33242200 is a wasteful number, since it uses less digits than its factorization.

33242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33242200 is about 5765.6049118891. The cubic root of 33242200 is about 321.5362329533.

Adding to 33242200 its reverse (224233), we get a palindrome (33466433).

The spelling of 33242200 in words is "thirty-three million, two hundred forty-two thousand, two hundred".