224122000224 has 96 divisors (see below), whose sum is σ = 623412036576. Its totient is φ = 70258073600.

The previous prime is 224122000217. The next prime is 224122000279. The reversal of 224122000224 is 422000221422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 224122000224.

It is a congruent number.

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, 2070454 + ... + 2176010.

It is an arithmetic number, because the mean of its divisors is an integer number (6493875381).

Almost surely, 2^224122000224 is an apocalyptic number.

224122000224 is a gapful number since it is divisible by the number (24) 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 224122000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311706018288).

224122000224 is an abundant number, since it is smaller than the sum of its proper divisors (399290036352).

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

224122000224 is a wasteful number, since it uses less digits than its factorization.

224122000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106888 (or 106880 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 224122000224 its reverse (422000221422), we get a palindrome (646122221646).

The spelling of 224122000224 in words is "two hundred twenty-four billion, one hundred twenty-two million, two hundred twenty-four", and thus it is an aban number.