224341420 has 48 divisors (see below), whose sum is σ = 487968768. Its totient is φ = 86546880.

The previous prime is 224341391. The next prime is 224341441. The reversal of 224341420 is 24143422.

224341420 = 421² + 422² + ... + 907².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224341391 and 224341400.

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, 301569 + ... + 302311.

It is an arithmetic number, because the mean of its divisors is an integer number (10166016).

Almost surely, 2^224341420 is an apocalyptic number.

224341420 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 224341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243984384).

224341420 is an abundant number, since it is smaller than the sum of its proper divisors (263627348).

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

224341420 is a wasteful number, since it uses less digits than its factorization.

224341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 224341420 is about 14978.0312457946. The cubic root of 224341420 is about 607.6261949449.

Adding to 224341420 its reverse (24143422), we get a palindrome (248484842).

The spelling of 224341420 in words is "two hundred twenty-four million, three hundred forty-one thousand, four hundred twenty".