33030144224 has 144 divisors (see below), whose sum is σ = 83452829040. Its totient is φ = 12723701760.

The previous prime is 33030144149. The next prime is 33030144281. The reversal of 33030144224 is 42244103033.

It is a junction number, because it is equal to n+sod(n) for n = 33030144193 and 33030144202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524314 + ... + 1545830.

It is an arithmetic number, because the mean of its divisors is an integer number (579533535).

Almost surely, 2^33030144224 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 33030144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726414520).

33030144224 is an abundant number, since it is smaller than the sum of its proper divisors (50422684816).

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

33030144224 is a wasteful number, since it uses less digits than its factorization.

33030144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21641 (or 21626 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 33030144224 its reverse (42244103033), we get a palindrome (75274247257).

It can be divided in two parts, 33030144 and 224, that multiplied together give a square (7398752256 = 86016²).

The spelling of 33030144224 in words is "thirty-three billion, thirty million, one hundred forty-four thousand, two hundred twenty-four".