305222000 has 80 divisors (see below), whose sum is σ = 745827264. Its totient is φ = 120800000.

The previous prime is 305221993. The next prime is 305222003. The reversal of 305222000 is 222503.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201245 + ... + 202755.

Almost surely, 2^305222000 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 305222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372913632).

305222000 is an abundant number, since it is smaller than the sum of its proper divisors (440605264).

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

305222000 is a wasteful number, since it uses less digits than its factorization.

305222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 305222000 is about 17470.6038819498. The cubic root of 305222000 is about 673.2948272809.

Adding to 305222000 its reverse (222503), we get a palindrome (305444503).

It can be divided in two parts, 3052 and 22000, that added together give a palindrome (25052).

The spelling of 305222000 in words is "three hundred five million, two hundred twenty-two thousand".