224253168 has 80 divisors (see below), whose sum is σ = 597818880. Its totient is φ = 72398848.

The previous prime is 224253167. The next prime is 224253173. The reversal of 224253168 is 861352422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224253167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240928 + ... + 241856.

It is an arithmetic number, because the mean of its divisors is an integer number (7472736).

Almost surely, 2^224253168 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 224253168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298909440).

224253168 is an abundant number, since it is smaller than the sum of its proper divisors (373565712).

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

224253168 is a wasteful number, since it uses less digits than its factorization.

224253168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 224253168 is about 14975.0849079396. The cubic root of 224253168 is about 607.5465079807.

The spelling of 224253168 in words is "two hundred twenty-four million, two hundred fifty-three thousand, one hundred sixty-eight".