Search a number
-
+
199972873 is a prime number
BaseRepresentation
bin10111110101101…
…01100000001001
3111221021200012201
423322311200021
5402143112443
631502040201
74645512202
oct1372654011
9457250181
10199972873
11a2974641
1256b79061
1332577b59
141c7b65a9
151285134d
hexbeb5809

199972873 has 2 divisors, whose sum is σ = 199972874. Its totient is φ = 199972872.

The previous prime is 199972837. The next prime is 199972931. The reversal of 199972873 is 378279991.

199972873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (199972837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140944384 + 59028489 = 11872^2 + 7683^2 .

It is a cyclic number.

It is not a de Polignac number, because 199972873 - 29 = 199972361 is a prime.

It is not a weakly prime, because it can be changed into another prime (199972273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99986436 + 99986437.

It is an arithmetic number, because the mean of its divisors is an integer number (99986437).

Almost surely, 2199972873 is an apocalyptic number.

It is an amenable number.

199972873 is a deficient number, since it is larger than the sum of its proper divisors (1).

199972873 is an equidigital number, since it uses as much as digits as its factorization.

199972873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1714608, while the sum is 55.

The square root of 199972873 is about 14141.1765069247. The cubic root of 199972873 is about 584.7771065040. Note that the first 3 decimals are identical.

The spelling of 199972873 in words is "one hundred ninety-nine million, nine hundred seventy-two thousand, eight hundred seventy-three".