33242112 has 66 divisors (see below), whose sum is σ = 96012488. Its totient is φ = 11077632.

The previous prime is 33242101. The next prime is 33242119. The reversal of 33242112 is 21124233.

It is a super-2 number, since 2×33242112² = 2210076020441088, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33242119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7413 + ... + 11019.

Almost surely, 2^33242112 is an apocalyptic number.

33242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006244).

33242112 is an abundant number, since it is smaller than the sum of its proper divisors (62770376).

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

33242112 is a wasteful number, since it uses less digits than its factorization.

33242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3612 counting only the distinct ones).

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

The square root of 33242112 is about 5765.5972804212. The cubic root of 33242112 is about 321.5359492255.

Adding to 33242112 its reverse (21124233), we get a palindrome (54366345).

The spelling of 33242112 in words is "thirty-three million, two hundred forty-two thousand, one hundred twelve".