305226 has 24 divisors (see below), whose sum is σ = 683904. Its totient is φ = 98280.

The previous prime is 305219. The next prime is 305231. The reversal of 305226 is 622503.

It is a super-2 number, since 2×305226² = 186325822152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 305199 and 305208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (28496).

2³⁰⁵²²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341952).

305226 is an abundant number, since it is smaller than the sum of its proper divisors (378678).

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

305226 is a wasteful number, since it uses less digits than its factorization.

305226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305226 is about 552.4726237561. The cubic root of 305226 is about 67.3297768493.

Adding to 305226 its reverse (622503), we get a palindrome (927729).

The spelling of 305226 in words is "three hundred five thousand, two hundred twenty-six".