193948224 has 56 divisors (see below), whose sum is σ = 516209280. Its totient is φ = 64264704.

The previous prime is 193948207. The next prime is 193948231. The reversal of 193948224 is 422849391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30297 + ... + 36135.

Almost surely, 2^193948224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258104640).

193948224 is an abundant number, since it is smaller than the sum of its proper divisors (322261056).

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

193948224 is a wasteful number, since it uses less digits than its factorization.

193948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6017 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 193948224 is about 13926.5295030743. The cubic root of 193948224 is about 578.8445327594.

The spelling of 193948224 in words is "one hundred ninety-three million, nine hundred forty-eight thousand, two hundred twenty-four".