180222 has 24 divisors (see below), whose sum is σ = 419976. Its totient is φ = 51408.

The previous prime is 180221. The next prime is 180233. The reversal of 180222 is 222081.

180222 is a modest number, since divided by 222 gives 180 as remainder.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180222.

It is not an unprimeable number, because it can be changed into a prime (180221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (17499).

2¹⁸⁰²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209988).

180222 is an abundant number, since it is smaller than the sum of its proper divisors (239754).

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

180222 is a wasteful number, since it uses less digits than its factorization.

180222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 180222 is about 424.5256176016. The cubic root of 180222 is about 56.4853644186.

The spelling of 180222 in words is "one hundred eighty thousand, two hundred twenty-two".