33238900 has 36 divisors (see below), whose sum is σ = 73324300. Its totient is φ = 13075200.

The previous prime is 33238873. The next prime is 33238903. The reversal of 33238900 is 983233.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12916836 + 20322064 = 3594^2 + 4508^2 .

It is a super-2 number, since 2×33238900² = 2209648946420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33238903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376 + ... + 8824.

Almost surely, 2^33238900 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 33238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36662150).

33238900 is an abundant number, since it is smaller than the sum of its proper divisors (40085400).

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

33238900 is a wasteful number, since it uses less digits than its factorization.

33238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 33238900 is about 5765.3187249275. The cubic root of 33238900 is about 321.5255928163.

The spelling of 33238900 in words is "thirty-three million, two hundred thirty-eight thousand, nine hundred".