224871768 has 256 divisors, whose sum is σ = 729907200. Its totient is φ = 63504000.

The previous prime is 224871743. The next prime is 224871781. The reversal of 224871768 is 867178422.

224871768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3167173 + ... + 3167243.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^224871768 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 224871768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364953600).

224871768 is an abundant number, since it is smaller than the sum of its proper divisors (505035432).

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

224871768 is a wasteful number, since it uses less digits than its factorization.

224871768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 224871768 is about 14995.7249908099. The cubic root of 224871768 is about 608.1046319811.

The spelling of 224871768 in words is "two hundred twenty-four million, eight hundred seventy-one thousand, seven hundred sixty-eight".