Search a number
-
+
2222004422241 = 34154917709589
BaseRepresentation
bin100000010101011001110…
…010001100011001100001
321212102101022100000010000
4200111121302030121201
5242401131113002431
64420435202130213
7316351224646422
oct40253162143141
97772338300100
102222004422241
1178738a62910a
122ba780950969
131316c35c3326
147978d143649
153cbed1559e6
hex20559c8c661

2222004422241 has 20 divisors (see below), whose sum is σ = 3321433604500. Its totient is φ = 1480379880096.

The previous prime is 2222004422219. The next prime is 2222004422327. The reversal of 2222004422241 is 1422244002222.

It can be written as a sum of positive squares in 2 ways, for example, as 1554188582241 + 667815840000 = 1246671^2 + 817200^2 .

It is a de Polignac number, because none of the positive numbers 2k-2222004422241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2222004022241) 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 in 19 ways as a sum of consecutive naturals, for example, 8729326 + ... + 8980263.

It is an arithmetic number, because the mean of its divisors is an integer number (166071680225).

Almost surely, 22222004422241 is an apocalyptic number.

It is an amenable number.

2222004422241 is a deficient number, since it is larger than the sum of its proper divisors (1099429182259).

2222004422241 is a wasteful number, since it uses less digits than its factorization.

2222004422241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711150 (or 17711141 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2222004422241 its reverse (1422244002222), we get a palindrome (3644248424463).

The spelling of 2222004422241 in words is "two trillion, two hundred twenty-two billion, four million, four hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 1549 4647 13941 41823 125469 17709589 53128767 159386301 478158903 1434476709 27432153361 82296460083 246889380249 740668140747 2222004422241