224014420220 has 192 divisors, whose sum is σ = 521850470400. Its totient is φ = 80536888320.

The previous prime is 224014420219. The next prime is 224014420319. The reversal of 224014420220 is 22024410422.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 49856294 + ... + 49860786.

It is an arithmetic number, because the mean of its divisors is an integer number (2717971200).

Almost surely, 2^224014420220 is an apocalyptic number.

224014420220 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 224014420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260925235200).

224014420220 is an abundant number, since it is smaller than the sum of its proper divisors (297836050180).

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

224014420220 is a wasteful number, since it uses less digits than its factorization.

224014420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 224014420220 its reverse (22024410422), we get a palindrome (246038830642).

The spelling of 224014420220 in words is "two hundred twenty-four billion, fourteen million, four hundred twenty thousand, two hundred twenty".