199190016 has 120 divisors (see below), whose sum is σ = 596539944. Its totient is φ = 66355200.

The previous prime is 199189993. The next prime is 199190021. The reversal of 199190016 is 610091991.

199190016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199190016³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123616 + ... + 125216.

Almost surely, 2^199190016 is an apocalyptic number.

199190016 is a gapful number since it is divisible by the number (16) 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 199190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298269972).

199190016 is an abundant number, since it is smaller than the sum of its proper divisors (397349928).

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

199190016 is an frugal number, since it uses more digits than its factorization.

199190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The square root of 199190016 is about 14113.4693112643. The cubic root of 199190016 is about 584.0130102812.

The spelling of 199190016 in words is "one hundred ninety-nine million, one hundred ninety thousand, sixteen".