305224220672 has 180 divisors, whose sum is σ = 716687381025. Its totient is φ = 129610285056.

The previous prime is 305224220663. The next prime is 305224220681. The reversal of 305224220672 is 276022422503.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (305224220663) and next prime (305224220681).

It can be written as a sum of positive squares in 2 ways, for example, as 292880121856 + 12344098816 = 541184^2 + 111104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=390656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2800222154 + ... + 2800222262.

Almost surely, 2^305224220672 is an apocalyptic number.

305224220672 is a gapful number since it is divisible by the number (32) 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 305224220672

305224220672 is an abundant number, since it is smaller than the sum of its proper divisors (411463160353).

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

305224220672 is an frugal number, since it uses more digits than its factorization.

305224220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 305224220672 in words is "three hundred five billion, two hundred twenty-four million, two hundred twenty thousand, six hundred seventy-two".