208831140 has 108 divisors (see below), whose sum is σ = 736906716. Its totient is φ = 47730816.

The previous prime is 208831127. The next prime is 208831141. The reversal of 208831140 is 41138802.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 129549924 = 8904^2 + 11382^2 .

It is a super-2 number, since 2×208831140² = 87220890067399200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208831141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3019 + ... + 20658.

Almost surely, 2^208831140 is an apocalyptic number.

208831140 is a gapful number since it is divisible by the number (20) 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 208831140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368453358).

208831140 is an abundant number, since it is smaller than the sum of its proper divisors (528075576).

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

208831140 is a wasteful number, since it uses less digits than its factorization.

208831140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 208831140 is about 14450.9909694803. The cubic root of 208831140 is about 593.2873472194.

Adding to 208831140 its reverse (41138802), we get a palindrome (249969942).

The spelling of 208831140 in words is "two hundred eight million, eight hundred thirty-one thousand, one hundred forty".