30322998225 has 243 divisors, whose sum is σ = 63418018833. Its totient is φ = 13841642880.

The previous prime is 30322998197. The next prime is 30322998229. The reversal of 30322998225 is 52289922303.

The square root of 30322998225 is 174135.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7815797649 + 22507200576 = 88407^2 + 150024^2 .

It is not a de Polignac number, because 30322998225 - 2⁹ = 30322997713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30322998229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 645170152 + ... + 645170198.

Almost surely, 2^30322998225 is an apocalyptic number.

30322998225 is the 174135-th square number.

30322998225 is the 87068-th centered octagonal number.

It is an amenable number.

30322998225 is an abundant number, since it is smaller than the sum of its proper divisors (33095020608).

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

30322998225 is a wasteful number, since it uses less digits than its factorization.

30322998225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30322998225 in words is "thirty billion, three hundred twenty-two million, nine hundred ninety-eight thousand, two hundred twenty-five".