194235200 has 168 divisors, whose sum is σ = 522424152. Its totient is φ = 70778880.

The previous prime is 194235199. The next prime is 194235229. The reversal of 194235200 is 2532491.

It can be written as a sum of positive squares in 12 ways, for example, as 16386304 + 177848896 = 4048^2 + 13336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 194235200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1006304 + ... + 1006496.

Almost surely, 2^194235200 is an apocalyptic number.

194235200 is a gapful number since it is divisible by the number (10) 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 194235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261212076).

194235200 is an abundant number, since it is smaller than the sum of its proper divisors (328188952).

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

194235200 is a wasteful number, since it uses less digits than its factorization.

194235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 194235200 is about 13936.8289076102. The cubic root of 194235200 is about 579.1298883419.

Adding to 194235200 its reverse (2532491), we get a palindrome (196767691).

The spelling of 194235200 in words is "one hundred ninety-four million, two hundred thirty-five thousand, two hundred".