199795248 has 100 divisors (see below), whose sum is σ = 597039168. Its totient is φ = 64437120.

The previous prime is 199795201. The next prime is 199795303. The reversal of 199795248 is 842597991.

It is a super-2 number, since 2×199795248² = 79836282246763008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199795194 and 199795203.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37690 + ... + 42662.

Almost surely, 2^199795248 is an apocalyptic number.

199795248 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 199795248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298519584).

199795248 is an abundant number, since it is smaller than the sum of its proper divisors (397243920).

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

199795248 is a wasteful number, since it uses less digits than its factorization.

199795248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5009 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 199795248 is about 14134.8946936297. The cubic root of 199795248 is about 584.6039133412.

The spelling of 199795248 in words is "one hundred ninety-nine million, seven hundred ninety-five thousand, two hundred forty-eight".