33442192 has 40 divisors (see below), whose sum is σ = 75638016. Its totient is φ = 14025216.

The previous prime is 33442187. The next prime is 33442193. The reversal of 33442192 is 29124433.

It is a super-2 number, since 2×33442192² = 2236760411529728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33442192.

It is not an unprimeable number, because it can be changed into a prime (33442193) 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 7 ways as a sum of consecutive naturals, for example, 2088 + ... + 8440.

Almost surely, 2^33442192 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 33442192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37819008).

33442192 is an abundant number, since it is smaller than the sum of its proper divisors (42195824).

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

33442192 is a wasteful number, since it uses less digits than its factorization.

33442192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6409 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 33442192 is about 5782.9224445777. The cubic root of 33442192 is about 322.1797538076.

It can be divided in two parts, 33 and 442192, that added together give a square (442225 = 665²).

The spelling of 33442192 in words is "thirty-three million, four hundred forty-two thousand, one hundred ninety-two".