193130208 has 72 divisors (see below), whose sum is σ = 552975696. Its totient is φ = 63936000.

The previous prime is 193130173. The next prime is 193130239. The reversal of 193130208 is 802031391.

193130208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41268 + ... + 45708.

It is an arithmetic number, because the mean of its divisors is an integer number (7680218).

Almost surely, 2^193130208 is an apocalyptic number.

193130208 is a gapful number since it is divisible by the number (18) 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 193130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276487848).

193130208 is an abundant number, since it is smaller than the sum of its proper divisors (359845488).

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

193130208 is a wasteful number, since it uses less digits than its factorization.

193130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 193130208 is about 13897.1294877755. The cubic root of 193130208 is about 578.0295878501.

Adding to 193130208 its reverse (802031391), we get a palindrome (995161599).

The spelling of 193130208 in words is "one hundred ninety-three million, one hundred thirty thousand, two hundred eight".