33242144 has 48 divisors (see below), whose sum is σ = 72235800. Its totient is φ = 14960640.

The previous prime is 33242119. The next prime is 33242147. The reversal of 33242144 is 44124233.

It can be written as a sum of positive squares in 4 ways, for example, as 19254544 + 13987600 = 4388^2 + 3740^2 .

It is a super-2 number, since 2×33242144² = 2210080275433472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33242147) 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, 16082 + ... + 18030.

Almost surely, 2^33242144 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 33242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36117900).

33242144 is an abundant number, since it is smaller than the sum of its proper divisors (38993656).

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

33242144 is a wasteful number, since it uses less digits than its factorization.

33242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 33242144 is about 5765.6000555016. The cubic root of 33242144 is about 321.5360523993.

Adding to 33242144 its reverse (44124233), we get a palindrome (77366377).

The spelling of 33242144 in words is "thirty-three million, two hundred forty-two thousand, one hundred forty-four".