Search a number
-
+
22222132241 is a prime number
BaseRepresentation
bin10100101100100010…
…101101010000010001
32010100200212021121212
4110230202231100101
5331002331212431
614113025225505
71414454002361
oct245442552021
963320767555
1022222132241
1194738a5951
124382192295
132131b8809a
14110b4849a1
158a0daa72b
hex52c8ad411

22222132241 has 2 divisors, whose sum is σ = 22222132242. Its totient is φ = 22222132240.

The previous prime is 22222132147. The next prime is 22222132243. The reversal of 22222132241 is 14223122222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20582206225 + 1639926016 = 143465^2 + 40496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22222132241 is a prime.

It is a super-2 number, since 2×222221322412 (a number of 21 digits) contains 22 as substring.

Together with 22222132243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22222132243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111066120 + 11111066121.

It is an arithmetic number, because the mean of its divisors is an integer number (11111066121).

Almost surely, 222222132241 is an apocalyptic number.

It is an amenable number.

22222132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222132241 is an equidigital number, since it uses as much as digits as its factorization.

22222132241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 23.

Adding to 22222132241 its reverse (14223122222), we get a palindrome (36445254463).

The spelling of 22222132241 in words is "twenty-two billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred forty-one".