180224000 has 144 divisors (see below), whose sum is σ = 490731696. Its totient is φ = 65536000.

The previous prime is 180223999. The next prime is 180224029. The reversal of 180224000 is 422081.

It is a self number, because there is not a number n which added to its sum of digits gives 180224000.

It is a congruent number.

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, 16383995 + ... + 16384005.

It is an arithmetic number, because the mean of its divisors is an integer number (3407859).

Almost surely, 2^180224000 is an apocalyptic number.

180224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

180224000 is an abundant number, since it is smaller than the sum of its proper divisors (310507696).

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

180224000 is an frugal number, since it uses more digits than its factorization.

180224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

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

The square root of 180224000 is about 13424.7532565779. The cubic root of 180224000 is about 564.8557336522.

Adding to 180224000 its reverse (422081), we get a palindrome (180646081).

It can be divided in two parts, 18022 and 4000, that added together give a palindrome (22022).

The spelling of 180224000 in words is "one hundred eighty million, two hundred twenty-four thousand".