224119168 has 128 divisors (see below), whose sum is σ = 559319040. Its totient is φ = 87091200.

The previous prime is 224119157. The next prime is 224119169. The reversal of 224119168 is 861911422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224119169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826873 + ... + 827143.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2^224119168 is an apocalyptic number.

224119168 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 224119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279659520).

224119168 is an abundant number, since it is smaller than the sum of its proper divisors (335199872).

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

224119168 is a wasteful number, since it uses less digits than its factorization.

224119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 224119168 is about 14970.6101412067. The cubic root of 224119168 is about 607.4254729713.

The spelling of 224119168 in words is "two hundred twenty-four million, one hundred nineteen thousand, one hundred sixty-eight".