199381248 has 108 divisors (see below), whose sum is σ = 627205488. Its totient is φ = 60410880.

The previous prime is 199381241. The next prime is 199381249. The reversal of 199381248 is 842183991.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199381241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21411 + ... + 29277.

Almost surely, 2^199381248 is an apocalyptic number.

199381248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313602744).

199381248 is an abundant number, since it is smaller than the sum of its proper divisors (427824240).

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

199381248 is a wasteful number, since it uses less digits than its factorization.

199381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7883 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 199381248 is about 14120.2424908356. The cubic root of 199381248 is about 584.1998440347.

The spelling of 199381248 in words is "one hundred ninety-nine million, three hundred eighty-one thousand, two hundred forty-eight".