224161938 has 288 divisors, whose sum is σ = 700963200. Its totient is φ = 51891840.

The previous prime is 224161921. The next prime is 224161939. The reversal of 224161938 is 839161422.

224161938 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 619 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (224161939) 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 143 ways as a sum of consecutive naturals, for example, 7729708 + ... + 7729736.

It is an arithmetic number, because the mean of its divisors is an integer number (2433900).

Almost surely, 2^224161938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224161938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350481600).

224161938 is an abundant number, since it is smaller than the sum of its proper divisors (476801262).

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

224161938 is a wasteful number, since it uses less digits than its factorization.

224161938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 224161938 is about 14972.0385385558. The cubic root of 224161938 is about 607.4641100578.

The spelling of 224161938 in words is "two hundred twenty-four million, one hundred sixty-one thousand, nine hundred thirty-eight".