33142212 has 36 divisors (see below), whose sum is σ = 83999916. Its totient is φ = 11017920.

The previous prime is 33142211. The next prime is 33142267. The reversal of 33142212 is 21224133.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 28579716 = 2136^2 + 5346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33142211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15598 + ... + 17594.

It is an arithmetic number, because the mean of its divisors is an integer number (2333331).

Almost surely, 2^33142212 is an apocalyptic number.

It is an amenable number.

33142212 is an abundant number, since it is smaller than the sum of its proper divisors (50857704).

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

33142212 is a wasteful number, since it uses less digits than its factorization.

33142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2463 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33142212 is about 5756.9273054295. The cubic root of 33142212 is about 321.2135301552.

Adding to 33142212 its reverse (21224133), we get a palindrome (54366345).

The spelling of 33142212 in words is "thirty-three million, one hundred forty-two thousand, two hundred twelve".