33290144 has 36 divisors (see below), whose sum is σ = 67932774. Its totient is φ = 16058112.

The previous prime is 33290143. The next prime is 33290149. The reversal of 33290144 is 44109233.

It can be written as a sum of positive squares in 3 ways, for example, as 31494544 + 1795600 = 5612^2 + 1340^2 .

It is a super-2 number, since 2×33290144² = 2216467375081472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33290141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26294 + ... + 27530.

Almost surely, 2^33290144 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 33290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966387).

33290144 is an abundant number, since it is smaller than the sum of its proper divisors (34642630).

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

33290144 is a wasteful number, since it uses less digits than its factorization.

33290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 33290144 is about 5769.7611735669. The cubic root of 33290144 is about 321.6907386509.

Adding to 33290144 its reverse (44109233), we get a palindrome (77399377).

The spelling of 33290144 in words is "thirty-three million, two hundred ninety thousand, one hundred forty-four".