30222056448 has 220 divisors, whose sum is σ = 92460566352. Its totient is φ = 9827205120.

The previous prime is 30222056443. The next prime is 30222056453. The reversal of 30222056448 is 84465022203.

30222056448 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 2 + 0 + 5 + 644 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30222056443) and next prime (30222056453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222056443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3396261 + ... + 3405147.

Almost surely, 2^30222056448 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 30222056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230283176).

30222056448 is an abundant number, since it is smaller than the sum of its proper divisors (62238509904).

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

30222056448 is an equidigital number, since it uses as much as digits as its factorization.

30222056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 30222056448 in words is "thirty billion, two hundred twenty-two million, fifty-six thousand, four hundred forty-eight".