224132420 has 48 divisors (see below), whose sum is σ = 505854720. Its totient is φ = 83111424.

The previous prime is 224132339. The next prime is 224132431. The reversal of 224132420 is 24231422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224132392 and 224132401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17861 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2^224132420 is an apocalyptic number.

224132420 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 224132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252927360).

224132420 is an abundant number, since it is smaller than the sum of its proper divisors (281722300).

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

224132420 is a wasteful number, since it uses less digits than its factorization.

224132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224132420 is about 14971.0527351953. The cubic root of 224132420 is about 607.4374449410.

Adding to 224132420 its reverse (24231422), we get a palindrome (248363842).

The spelling of 224132420 in words is "two hundred twenty-four million, one hundred thirty-two thousand, four hundred twenty".