30144224 has 48 divisors (see below), whose sum is σ = 66996720. Its totient is φ = 13224960.

The previous prime is 30144223. The next prime is 30144229. The reversal of 30144224 is 42244103.

It is a junction number, because it is equal to n+sod(n) for n = 30144196 and 30144205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8732 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (1395765).

Almost surely, 2^30144224 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 30144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33498360).

30144224 is an abundant number, since it is smaller than the sum of its proper divisors (36852496).

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

30144224 is a wasteful number, since it uses less digits than its factorization.

30144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 30144224 is about 5490.3755791385. The cubic root of 30144224 is about 311.2203853481.

Adding to 30144224 its reverse (42244103), we get a palindrome (72388327).

The spelling of 30144224 in words is "thirty million, one hundred forty-four thousand, two hundred twenty-four".