199990000 has 100 divisors (see below), whose sum is σ = 553560304. Its totient is φ = 68544000.

The previous prime is 199989983. The next prime is 199990013. The reversal of 199990000 is 99991.

199990000 is a nontrivial binomial coefficient, being equal to C(20000, 2).

It is a tau number, because it is divible by the number of its divisors (100).

199990000 is an astonishing number since 199990000 = 0 + ... + 19999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68572 + ... + 71428.

Almost surely, 2^199990000 is an apocalyptic number.

199990000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199990000 is the 19999-th triangular number and also the 10000-th hexagonal number.

199990000 is the 6667-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276780152).

199990000 is an abundant number, since it is smaller than the sum of its proper divisors (353570304).

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

199990000 is an equidigital number, since it uses as much as digits as its factorization.

199990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The square root of 199990000 is about 14141.7820659208. The cubic root of 199990000 is about 584.7938007543.

The spelling of 199990000 in words is "one hundred ninety-nine million, nine hundred ninety thousand".