30228480 has 180 divisors, whose sum is σ = 107344692. Its totient is φ = 7864320.

The previous prime is 30228479. The next prime is 30228491. The reversal of 30228480 is 8482203.

30228480 is a `hidden beast` number, since 302 + 284 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 24920064 = 2304^2 + 4992^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×30228480² = 1827522006220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737260 + ... + 737300.

Almost surely, 2^30228480 is an apocalyptic number.

30228480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672346).

30228480 is an abundant number, since it is smaller than the sum of its proper divisors (77116212).

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

30228480 is an equidigital number, since it uses as much as digits as its factorization.

30228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30228480 is about 5498.0432882981. The cubic root of 30228480 is about 311.5100792265.

It can be divided in two parts, 302 and 28480, that added together give a palindrome (28782).

The spelling of 30228480 in words is "thirty million, two hundred twenty-eight thousand, four hundred eighty".