Search a number
-
+
2232000191 is a prime number
BaseRepresentation
bin1000010100001001…
…1001111010111111
312202112220100122202
42011002121322333
514032343001231
61005251302115
7106211455121
oct20502317277
95675810582
102232000191
11a459a6863
125235aa93b
13297556b95
1417260b211
15d0e3d5cb
hex85099ebf

2232000191 has 2 divisors, whose sum is σ = 2232000192. Its totient is φ = 2232000190.

The previous prime is 2232000161. The next prime is 2232000203. The reversal of 2232000191 is 1910002322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2232000191 - 214 = 2231983807 is a prime.

It is a super-3 number, since 3×22320001913 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116000095 + 1116000096.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000096).

Almost surely, 22232000191 is an apocalyptic number.

2232000191 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232000191 is an equidigital number, since it uses as much as digits as its factorization.

2232000191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2232000191 is about 47244.0492654895. The cubic root of 2232000191 is about 1306.8670526952.

The spelling of 2232000191 in words is "two billion, two hundred thirty-two million, one hundred ninety-one", and thus it is an aban number.