199713024 has 324 divisors, whose sum is σ = 704290860. Its totient is φ = 54190080.

The previous prime is 199713001. The next prime is 199713029. The reversal of 199713024 is 420317991.

199713024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 154554624 = 6720^2 + 12432^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 199713024.

It is not an unprimeable number, because it can be changed into a prime (199713029) 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, 3273954 + ... + 3274014.

Almost surely, 2^199713024 is an apocalyptic number.

199713024 is a gapful number since it is divisible by the number (14) 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 199713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352145430).

199713024 is an abundant number, since it is smaller than the sum of its proper divisors (504577836).

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

199713024 is a wasteful number, since it uses less digits than its factorization.

199713024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 199713024 is about 14131.9858477144. The cubic root of 199713024 is about 584.5237061154.

The spelling of 199713024 in words is "one hundred ninety-nine million, seven hundred thirteen thousand, twenty-four".