193050 has 96 divisors (see below), whose sum is σ = 624960. Its totient is φ = 43200.

The previous prime is 193043. The next prime is 193051. The reversal of 193050 is 50391.

193050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (193051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14844 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹⁹³⁰⁵⁰ is an apocalyptic number.

193050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

193050 is an abundant number, since it is smaller than the sum of its proper divisors (431910).

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

193050 is a wasteful number, since it uses less digits than its factorization.

193050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 193050 is about 439.3745554763. The cubic root of 193050 is about 57.7949557185.

The spelling of 193050 in words is "one hundred ninety-three thousand, fifty".