224112227328 has 528 divisors, whose sum is σ = 753416527360. Its totient is φ = 65691648000.

The previous prime is 224112227327. The next prime is 224112227333. The reversal of 224112227328 is 823722211422.

224112227328 is a `hidden beast` number, since 2 + 241 + 122 + 273 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224112227292 and 224112227301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224112227321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103706568 + ... + 103708728.

Almost surely, 2^224112227328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224112227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376708263680).

224112227328 is an abundant number, since it is smaller than the sum of its proper divisors (529304300032).

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

224112227328 is a wasteful number, since it uses less digits than its factorization.

224112227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2208 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 224112227328 in words is "two hundred twenty-four billion, one hundred twelve million, two hundred twenty-seven thousand, three hundred twenty-eight".