185222 has 8 divisors (see below), whose sum is σ = 285456. Its totient is φ = 90072.

The previous prime is 185221. The next prime is 185233. The reversal of 185222 is 222581.

185222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×185222³ = 19063338640683144, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 185194 and 185203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1178 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (35682).

2¹⁸⁵²²² is an apocalyptic number.

185222 is a deficient number, since it is larger than the sum of its proper divisors (100234).

185222 is a wasteful number, since it uses less digits than its factorization.

185222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542.

The product of its digits is 320, while the sum is 20.

The square root of 185222 is about 430.3742557356. The cubic root of 185222 is about 57.0029751192.

The spelling of 185222 in words is "one hundred eighty-five thousand, two hundred twenty-two".