309224 has 8 divisors (see below), whose sum is σ = 579810. Its totient is φ = 154608.

The previous prime is 309223. The next prime is 309241. The reversal of 309224 is 422903.

309224 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 only one way, i.e., 302500 + 6724 = 550^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 309196 and 309205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309224.

It is not an unprimeable number, because it can be changed into a prime (309223) 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 as a sum of consecutive naturals, namely, 19319 + ... + 19334.

2³⁰⁹²²⁴ is an apocalyptic number.

It is an amenable number.

309224 is a deficient number, since it is larger than the sum of its proper divisors (270586).

309224 is a wasteful number, since it uses less digits than its factorization.

309224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38659 (or 38655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 309224 is about 556.0791310596. The cubic root of 309224 is about 67.6224753995.

The spelling of 309224 in words is "three hundred nine thousand, two hundred twenty-four".