Search a number
-
+
2232224341001 is a prime number
BaseRepresentation
bin100000011110111010111…
…100000101110000001001
321220101202112220200001122
4200132322330011300021
5243033043412403001
64425245242325025
7320162412556064
oct40367274056011
97811675820048
102232224341001
117907544a0366
123007534b9775
13132661a20235
147a07c5918db
153d0ea4a4b1b
hex207baf05c09

2232224341001 has 2 divisors, whose sum is σ = 2232224341002. Its totient is φ = 2232224341000.

The previous prime is 2232224340979. The next prime is 2232224341069. The reversal of 2232224341001 is 1001434222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1413423765625 + 818800575376 = 1188875^2 + 904876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232224341001 is a prime.

It is a super-3 number, since 3×22322243410013 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232224341091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116112170500 + 1116112170501.

It is an arithmetic number, because the mean of its divisors is an integer number (1116112170501).

Almost surely, 22232224341001 is an apocalyptic number.

It is an amenable number.

2232224341001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232224341001 is an equidigital number, since it uses as much as digits as its factorization.

2232224341001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2232224341001 its reverse (1001434222322), we get a palindrome (3233658563323).

The spelling of 2232224341001 in words is "two trillion, two hundred thirty-two billion, two hundred twenty-four million, three hundred forty-one thousand, one".