199994000 has 120 divisors (see below), whose sum is σ = 512219448. Its totient is φ = 75513600.

The previous prime is 199993961. The next prime is 199994009. The reversal of 199994000 is 499991.

It can be written as a sum of positive squares in 4 ways, for example, as 29116816 + 170877184 = 5396^2 + 13072^2 .

It is not an unprimeable number, because it can be changed into a prime (199994009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721862 + ... + 722138.

Almost surely, 2^199994000 is an apocalyptic number.

199994000 is a gapful number since it is divisible by the number (10) 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 199994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256109724).

199994000 is an abundant number, since it is smaller than the sum of its proper divisors (312225448).

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

199994000 is a wasteful number, since it uses less digits than its factorization.

199994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 41.

The square root of 199994000 is about 14141.9234901056. The cubic root of 199994000 is about 584.7976995486.

The spelling of 199994000 in words is "one hundred ninety-nine million, nine hundred ninety-four thousand".