224146220 has 48 divisors (see below), whose sum is σ = 489404160. Its totient is φ = 86128896.

The previous prime is 224146193. The next prime is 224146253. The reversal of 224146220 is 22641422.

224146220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128474 + ... + 130206.

It is an arithmetic number, because the mean of its divisors is an integer number (10195920).

Almost surely, 2^224146220 is an apocalyptic number.

224146220 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 224146220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244702080).

224146220 is an abundant number, since it is smaller than the sum of its proper divisors (265257940).

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

224146220 is a wasteful number, since it uses less digits than its factorization.

224146220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 224146220 is about 14971.5136175338. The cubic root of 224146220 is about 607.4499114771.

Adding to 224146220 its reverse (22641422), we get a palindrome (246787642).

The spelling of 224146220 in words is "two hundred twenty-four million, one hundred forty-six thousand, two hundred twenty".