Search a number
-
+
2233211041 is a prime number
BaseRepresentation
bin1000010100011100…
…0001100010100001
312202122011212122001
42011013001202201
514033200223131
61005333244001
7106224660235
oct20507014241
95678155561
102233211041
11a46653566
12523a93601
1329788c069
141728445c5
15d10cc261
hex851c18a1

2233211041 has 2 divisors, whose sum is σ = 2233211042. Its totient is φ = 2233211040.

The previous prime is 2233211039. The next prime is 2233211047. The reversal of 2233211041 is 1401123322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1608411025 + 624800016 = 40105^2 + 24996^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233211041 - 21 = 2233211039 is a prime.

Together with 2233211039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2233211047) 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 as a sum of consecutive naturals, namely, 1116605520 + 1116605521.

It is an arithmetic number, because the mean of its divisors is an integer number (1116605521).

Almost surely, 22233211041 is an apocalyptic number.

It is an amenable number.

2233211041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233211041 is an equidigital number, since it uses as much as digits as its factorization.

2233211041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2233211041 is about 47256.8623693956. The cubic root of 2233211041 is about 1307.1033331268.

Adding to 2233211041 its reverse (1401123322), we get a palindrome (3634334363).

It can be divided in two parts, 223 and 3211041, that added together give a square (3211264 = 17922).

The spelling of 2233211041 in words is "two billion, two hundred thirty-three million, two hundred eleven thousand, forty-one".