Search a number
-
+
222122231 is a prime number
BaseRepresentation
bin11010011110101…
…01000011110111
3120110221222102022
431033111003313
5423330402411
634012503355
75335002452
oct1517250367
9513858368
10222122231
111044227a1
126247ab5b
1337031696
1421700499
1514778edb
hexd3d50f7

222122231 has 2 divisors, whose sum is σ = 222122232. Its totient is φ = 222122230.

The previous prime is 222122209. The next prime is 222122233. The reversal of 222122231 is 132221222.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222122231 is a prime.

It is a super-2 number, since 2×2221222312 = 98676571008834722, which contains 22 as substring.

Together with 222122233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222122233) 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, 111061115 + 111061116.

It is an arithmetic number, because the mean of its divisors is an integer number (111061116).

Almost surely, 2222122231 is an apocalyptic number.

222122231 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122231 is an equidigital number, since it uses as much as digits as its factorization.

222122231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 17.

The square root of 222122231 is about 14903.7656650928. The cubic root of 222122231 is about 605.6160025935.

Adding to 222122231 its reverse (132221222), we get a palindrome (354343453).

The spelling of 222122231 in words is "two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-one".