193948144 has 80 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 84268800.

The previous prime is 193948141. The next prime is 193948151. The reversal of 193948144 is 441849391.

It is a super-2 number, since 2×193948144² = 75231765122089472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 193948144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193948141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339379 + ... + 339949.

Almost surely, 2^193948144 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 193948144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

193948144 is an abundant number, since it is smaller than the sum of its proper divisors (235024400).

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

193948144 is a wasteful number, since it uses less digits than its factorization.

193948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 193948144 is about 13926.5266308581. The cubic root of 193948144 is about 578.8444531719.

The spelling of 193948144 in words is "one hundred ninety-three million, nine hundred forty-eight thousand, one hundred forty-four".