224120 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 82560.

The previous prime is 224113. The next prime is 224129. The reversal of 224120 is 21422.

224120 is nontrivially palindromic in base 7.

224120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224129) by changing a digit.

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, 305 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²²⁴¹²⁰ is an apocalyptic number.

224120 is a gapful number since it is divisible by the number (20) 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 224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

224120 is an abundant number, since it is smaller than the sum of its proper divisors (320200).

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

224120 is a wasteful number, since it uses less digits than its factorization.

224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 224120 is about 473.4131388122. The cubic root of 224120 is about 60.7426224621.

Adding to 224120 its reverse (21422), we get a palindrome (245542).

The spelling of 224120 in words is "two hundred twenty-four thousand, one hundred twenty", and thus it is an iban number.