338198224 has 80 divisors (see below), whose sum is σ = 814253440. Its totient is φ = 132503040.

The previous prime is 338198209. The next prime is 338198227. The reversal of 338198224 is 422891833.

338198224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338198224² = 228756077433508352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338198227) 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, 157639 + ... + 159769.

It is an arithmetic number, because the mean of its divisors is an integer number (10178168).

Almost surely, 2^338198224 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 338198224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407126720).

338198224 is an abundant number, since it is smaller than the sum of its proper divisors (476055216).

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

338198224 is a wasteful number, since it uses less digits than its factorization.

338198224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 338198224 is about 18390.1665027808. The cubic root of 338198224 is about 696.7181230228.

The spelling of 338198224 in words is "three hundred thirty-eight million, one hundred ninety-eight thousand, two hundred twenty-four".