33242000 has 80 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 12080000.

The previous prime is 33241993. The next prime is 33242009. The reversal of 33242000 is 24233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33242000² = 2210061128000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33242009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21245 + ... + 22755.

Almost surely, 2^33242000 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 33242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

33242000 is an abundant number, since it is smaller than the sum of its proper divisors (54502384).

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

33242000 is a wasteful number, since it uses less digits than its factorization.

33242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 33242000 is about 5765.5875676292. The cubic root of 33242000 is about 321.5355881166.

Adding to 33242000 its reverse (24233), we get a palindrome (33266233).

The spelling of 33242000 in words is "thirty-three million, two hundred forty-two thousand".