224420 has 36 divisors (see below), whose sum is σ = 550620. Its totient is φ = 76608.

The previous prime is 224401. The next prime is 224423. The reversal of 224420 is 24422.

It is a happy number.

224420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 70756 = 392^2 + 266^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 224395 and 224404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224423) 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, 866 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (15295).

2²²⁴⁴²⁰ is an apocalyptic number.

224420 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 224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275310).

224420 is an abundant number, since it is smaller than the sum of its proper divisors (326200).

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

224420 is a wasteful number, since it uses less digits than its factorization.

224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 224420 is about 473.7298808393. The cubic root of 224420 is about 60.7697131010.

Adding to 224420 its reverse (24422), we get a palindrome (248842).

The spelling of 224420 in words is "two hundred twenty-four thousand, four hundred twenty", and thus it is an iban number.