306505220022 has 256 divisors, whose sum is σ = 768559104000. Its totient is φ = 91285729920.

The previous prime is 306505219987. The next prime is 306505220113. The reversal of 306505220022 is 220022505603.

306505220022 is a `hidden beast` number, since 3 + 0 + 650 + 5 + 2 + 2 + 0 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90439504 + ... + 90442892.

It is an arithmetic number, because the mean of its divisors is an integer number (3002184000).

Almost surely, 2^306505220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306505220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384279552000).

306505220022 is an abundant number, since it is smaller than the sum of its proper divisors (462053883978).

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

306505220022 is a wasteful number, since it uses less digits than its factorization.

306505220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 306505220022 its reverse (220022505603), we get a palindrome (526527725625).

The spelling of 306505220022 in words is "three hundred six billion, five hundred five million, two hundred twenty thousand, twenty-two".