193814112 has 24 divisors (see below), whose sum is σ = 508762296. Its totient is φ = 64604672.

The previous prime is 193814111. The next prime is 193814113. The reversal of 193814112 is 211418391.

193814112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (193814111) and next prime (193814113).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 193814112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193814111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1009353 + ... + 1009544.

It is an arithmetic number, because the mean of its divisors is an integer number (21198429).

Almost surely, 2^193814112 is an apocalyptic number.

193814112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193814112 is an abundant number, since it is smaller than the sum of its proper divisors (314948184).

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

193814112 is a wasteful number, since it uses less digits than its factorization.

193814112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018910 (or 2018902 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 193814112 is about 13921.7136876176. The cubic root of 193814112 is about 578.7110815105.

The spelling of 193814112 in words is "one hundred ninety-three million, eight hundred fourteen thousand, one hundred twelve".