224180 has 24 divisors (see below), whose sum is σ = 514080. Its totient is φ = 81440.

The previous prime is 224177. The next prime is 224197. The reversal of 224180 is 81422.

224180 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2²²⁴¹⁸⁰ is an apocalyptic number.

224180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224180 is an abundant number, since it is smaller than the sum of its proper divisors (289900).

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

224180 is a wasteful number, since it uses less digits than its factorization.

224180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

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

The square root of 224180 is about 473.4765041689. The cubic root of 224180 is about 60.7480425230.

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

The spelling of 224180 in words is "two hundred twenty-four thousand, one hundred eighty".