303223072 has 48 divisors (see below), whose sum is σ = 621122040. Its totient is φ = 145539072.

The previous prime is 303223051. The next prime is 303223087. The reversal of 303223072 is 270322303.

303223072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 213276816 + 89946256 = 14604^2 + 9484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178258 + ... + 179950.

Almost surely, 2^303223072 is an apocalyptic number.

303223072 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 303223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310561020).

303223072 is an abundant number, since it is smaller than the sum of its proper divisors (317898968).

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

303223072 is a wasteful number, since it uses less digits than its factorization.

303223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 303223072 is about 17413.3015824111. The cubic root of 303223072 is about 671.8217828612.

Adding to 303223072 its reverse (270322303), we get a palindrome (573545375).

The spelling of 303223072 in words is "three hundred three million, two hundred twenty-three thousand, seventy-two".