199657224 has 160 divisors (see below), whose sum is σ = 610144920. Its totient is φ = 60632064.

The previous prime is 199657223. The next prime is 199657243. The reversal of 199657224 is 422756991.

It can be written as a sum of positive squares in 4 ways, for example, as 181764324 + 17892900 = 13482^2 + 4230^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199657224.

It is not an unprimeable number, because it can be changed into a prime (199657223) 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 39 ways as a sum of consecutive naturals, for example, 1154002 + ... + 1154174.

Almost surely, 2^199657224 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 199657224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305072460).

199657224 is an abundant number, since it is smaller than the sum of its proper divisors (410487696).

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

199657224 is a wasteful number, since it uses less digits than its factorization.

199657224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 199657224 is about 14130.0114649635. The cubic root of 199657224 is about 584.4692622267.

The spelling of 199657224 in words is "one hundred ninety-nine million, six hundred fifty-seven thousand, two hundred twenty-four".