193338240 has 128 divisors (see below), whose sum is σ = 622991520. Its totient is φ = 50995200.

The previous prime is 193338217. The next prime is 193338241. The reversal of 193338240 is 42833391.

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 (193338241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193422 + ... + 194418.

Almost surely, 2^193338240 is an apocalyptic number.

193338240 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 193338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311495760).

193338240 is an abundant number, since it is smaller than the sum of its proper divisors (429653280).

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

193338240 is a wasteful number, since it uses less digits than its factorization.

193338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 193338240 is about 13904.6121844516. The cubic root of 193338240 is about 578.2370566914.

The spelling of 193338240 in words is "one hundred ninety-three million, three hundred thirty-eight thousand, two hundred forty".