199993248 has 216 divisors, whose sum is σ = 705021408. Its totient is φ = 52655616.

The previous prime is 199993243. The next prime is 199993249. The reversal of 199993248 is 842399991.

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

It is a junction number, because it is equal to n+sod(n) for n = 199993194 and 199993203.

It is not an unprimeable number, because it can be changed into a prime (199993243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340411 + ... + 340997.

It is an arithmetic number, because the mean of its divisors is an integer number (3263988).

Almost surely, 2^199993248 is an apocalyptic number.

199993248 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 199993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352510704).

199993248 is an abundant number, since it is smaller than the sum of its proper divisors (505028160).

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

199993248 is a wasteful number, since it uses less digits than its factorization.

199993248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 199993248 is about 14141.8969024668. The cubic root of 199993248 is about 584.7969665793.

The spelling of 199993248 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, two hundred forty-eight".