180224 has 30 divisors (see below), whose sum is σ = 393204. Its totient is φ = 81920.

The previous prime is 180221. The next prime is 180233. The reversal of 180224 is 422081.

180224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16379 + ... + 16389.

2¹⁸⁰²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196602).

180224 is an abundant number, since it is smaller than the sum of its proper divisors (212980).

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

180224 is an frugal number, since it uses more digits than its factorization.

180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 180224 is about 424.5279731655. The cubic root of 180224 is about 56.4855733652.

It can be divided in two parts, 180 and 224, that added together give a palindrome (404).

The spelling of 180224 in words is "one hundred eighty thousand, two hundred twenty-four".