224203420 has 72 divisors (see below), whose sum is σ = 576570960. Its totient is φ = 72817920.

The previous prime is 224203417. The next prime is 224203423. The reversal of 224203420 is 24302422.

224203420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224203417) and next prime (224203423).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224203423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12600 + ... + 24640.

It is an arithmetic number, because the mean of its divisors is an integer number (8007930).

Almost surely, 2^224203420 is an apocalyptic number.

224203420 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 224203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288285480).

224203420 is an abundant number, since it is smaller than the sum of its proper divisors (352367540).

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

224203420 is a wasteful number, since it uses less digits than its factorization.

224203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 224203420 is about 14973.4237901690. The cubic root of 224203420 is about 607.5015789106.

Adding to 224203420 its reverse (24302422), we get a palindrome (248505842).

The spelling of 224203420 in words is "two hundred twenty-four million, two hundred three thousand, four hundred twenty".