224938168 has 64 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 88560000.

The previous prime is 224938163. The next prime is 224938187. The reversal of 224938168 is 861839422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224938163) 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, 182113 + ... + 183343.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^224938168 is an apocalyptic number.

224938168 is a gapful number since it is divisible by the number (28) 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 224938168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

224938168 is an abundant number, since it is smaller than the sum of its proper divisors (296641352).

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

224938168 is a wasteful number, since it uses less digits than its factorization.

224938168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 224938168 is about 14997.9387917140. The cubic root of 224938168 is about 608.1644796805.

The spelling of 224938168 in words is "two hundred twenty-four million, nine hundred thirty-eight thousand, one hundred sixty-eight".