199301632 has 40 divisors (see below), whose sum is σ = 402419556. Its totient is φ = 98598912.

The previous prime is 199301629. The next prime is 199301633. The reversal of 199301632 is 236103991.

199301632 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 194212096 + 5089536 = 13936^2 + 2256^2 .

It is a super-2 number, since 2×199301632² = 79442281035726848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199301633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47658 + ... + 51670.

Almost surely, 2^199301632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201209778).

199301632 is an abundant number, since it is smaller than the sum of its proper divisors (203117924).

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

199301632 is an frugal number, since it uses more digits than its factorization.

199301632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 199301632 is about 14117.4229943003. The cubic root of 199301632 is about 584.1220736867.

The spelling of 199301632 in words is "one hundred ninety-nine million, three hundred one thousand, six hundred thirty-two".