224242312420 has 96 divisors (see below), whose sum is σ = 569970196992. Its totient is φ = 72343922688.

The previous prime is 224242312397. The next prime is 224242312421. The reversal of 224242312420 is 24213242422.

It is a happy number.

It is a super-2 number, since 2×224242312420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (224242312421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14360257 + ... + 14375863.

It is an arithmetic number, because the mean of its divisors is an integer number (5937189552).

Almost surely, 2^224242312420 is an apocalyptic number.

224242312420 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 224242312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284985098496).

224242312420 is an abundant number, since it is smaller than the sum of its proper divisors (345727884572).

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

224242312420 is a wasteful number, since it uses less digits than its factorization.

224242312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21677 (or 21675 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224242312420 its reverse (24213242422), we get a palindrome (248455554842).

The spelling of 224242312420 in words is "two hundred twenty-four billion, two hundred forty-two million, three hundred twelve thousand, four hundred twenty".