222305 has 8 divisors (see below), whose sum is σ = 269352. Its totient is φ = 176128.

The previous prime is 222293. The next prime is 222311. The reversal of 222305 is 503222.

It can be written as a sum of positive squares in 4 ways, for example, as 134689 + 87616 = 367^2 + 296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 222305 - 2⁴ = 222289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222305.

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, 737 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (33669).

2²²²³⁰⁵ is an apocalyptic number.

It is an amenable number.

222305 is a deficient number, since it is larger than the sum of its proper divisors (47047).

222305 is a wasteful number, since it uses less digits than its factorization.

222305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

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

The square root of 222305 is about 471.4923117083. The cubic root of 222305 is about 60.5782063543.

Adding to 222305 its reverse (503222), we get a palindrome (725527).

The spelling of 222305 in words is "two hundred twenty-two thousand, three hundred five".