33330144 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 10621952.

The previous prime is 33330133. The next prime is 33330247. The reversal of 33330144 is 44103333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33330144² = 2221796998121472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33330144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374452 + ... + 374540.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^33330144 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 33330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

33330144 is an abundant number, since it is smaller than the sum of its proper divisors (58115616).

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

33330144 is a wasteful number, since it uses less digits than its factorization.

33330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 33330144 is about 5773.2264809204. The cubic root of 33330144 is about 321.8195303162.

Adding to 33330144 its reverse (44103333), we get a palindrome (77433477).

The spelling of 33330144 in words is "thirty-three million, three hundred thirty thousand, one hundred forty-four".