Search a number
-
+
222232112441 is a prime number
BaseRepresentation
bin1100111011111000010…
…0001110110100111001
3210020121201221000101022
43032332010032310321
512120112410044231
6250031513232225
722025055534233
oct3167604166471
9706551830338
10222232112441
1186280263349
12370a1102675
1317c5828cab1
14aa82a03253
155baa151c7b
hex33be10ed39

222232112441 has 2 divisors, whose sum is σ = 222232112442. Its totient is φ = 222232112440.

The previous prime is 222232112353. The next prime is 222232112447. The reversal of 222232112441 is 144211232222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179942246416 + 42289866025 = 424196^2 + 205645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222232112441 is a prime.

It is a super-2 number, since 2×2222321124412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222232112441.

It is not a weakly prime, because it can be changed into another prime (222232112447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111116056220 + 111116056221.

It is an arithmetic number, because the mean of its divisors is an integer number (111116056221).

Almost surely, 2222232112441 is an apocalyptic number.

It is an amenable number.

222232112441 is a deficient number, since it is larger than the sum of its proper divisors (1).

222232112441 is an equidigital number, since it uses as much as digits as its factorization.

222232112441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 26.

Adding to 222232112441 its reverse (144211232222), we get a palindrome (366443344663).

The spelling of 222232112441 in words is "two hundred twenty-two billion, two hundred thirty-two million, one hundred twelve thousand, four hundred forty-one".