30084224 has 32 divisors (see below), whose sum is σ = 60931740. Its totient is φ = 14791680.

The previous prime is 30084221. The next prime is 30084233. The reversal of 30084224 is 42248003.

30084224 = 311² + 312² + ... + 493².

It can be written as a sum of positive squares in 2 ways, for example, as 30030400 + 53824 = 5480^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30084224.

It is not an unprimeable number, because it can be changed into a prime (30084221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5882 + ... + 9734.

Almost surely, 2^30084224 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 30084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30465870).

30084224 is an abundant number, since it is smaller than the sum of its proper divisors (30847516).

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

30084224 is an equidigital number, since it uses as much as digits as its factorization.

30084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 30084224 is about 5484.9087503804. The cubic root of 30084224 is about 311.0137606219.

The spelling of 30084224 in words is "thirty million, eighty-four thousand, two hundred twenty-four".