193824225 has 192 divisors, whose sum is σ = 457113600. Its totient is φ = 78382080.

The previous prime is 193824221. The next prime is 193824227. The reversal of 193824225 is 522428391.

It is a happy number.

193824225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 193824225 - 2² = 193824221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 193824225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193824221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1526112 + ... + 1526238.

It is an arithmetic number, because the mean of its divisors is an integer number (2380800).

Almost surely, 2^193824225 is an apocalyptic number.

193824225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193824225 is an abundant number, since it is smaller than the sum of its proper divisors (263289375).

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

193824225 is a wasteful number, since it uses less digits than its factorization.

193824225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 193824225 is about 13922.0768924755. The cubic root of 193824225 is about 578.7211468308.

The spelling of 193824225 in words is "one hundred ninety-three million, eight hundred twenty-four thousand, two hundred twenty-five".