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2225314241 is a prime number
BaseRepresentation
bin1000010010100011…
…1001100111000001
312202002022200020222
42010220321213001
514024140023431
61004452112425
7106100600423
oct20450714701
95662280228
102225314241
11a4214a587
12521305715
132960558b7
1417178a813
15d056c57b
hex84a399c1

2225314241 has 2 divisors, whose sum is σ = 2225314242. Its totient is φ = 2225314240.

The previous prime is 2225314211. The next prime is 2225314249. The reversal of 2225314241 is 1424135222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1643491600 + 581822641 = 40540^2 + 24121^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225314241 - 26 = 2225314177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225314241.

It is not a weakly prime, because it can be changed into another prime (2225314249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112657120 + 1112657121.

It is an arithmetic number, because the mean of its divisors is an integer number (1112657121).

Almost surely, 22225314241 is an apocalyptic number.

It is an amenable number.

2225314241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225314241 is an equidigital number, since it uses as much as digits as its factorization.

2225314241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3840, while the sum is 26.

The square root of 2225314241 is about 47173.2364906204. The cubic root of 2225314241 is about 1305.5608421063.

Adding to 2225314241 its reverse (1424135222), we get a palindrome (3649449463).

The spelling of 2225314241 in words is "two billion, two hundred twenty-five million, three hundred fourteen thousand, two hundred forty-one".