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2241012241 = 13187791841
BaseRepresentation
bin1000010110010011…
…0010001000010001
312210011212012212101
42011210302020101
514042144342431
61010212400401
7106351201246
oct20544621021
95704765771
102241012241
11a4aaa1736
12526616101
13299390b60
141738b55cd
15d1b1d961
hex85932211

2241012241 has 8 divisors (see below), whose sum is σ = 2414709864. Its totient is φ = 2067502080.

The previous prime is 2241012229. The next prime is 2241012253. The reversal of 2241012241 is 1422101422.

It is an interprime number because it is at equal distance from previous prime (2241012229) and next prime (2241012253).

It can be written as a sum of positive squares in 4 ways, for example, as 402403600 + 1838608641 = 20060^2 + 42879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2241012241 - 221 = 2238915089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2241012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21520 + ... + 70321.

It is an arithmetic number, because the mean of its divisors is an integer number (301838733).

Almost surely, 22241012241 is an apocalyptic number.

It is an amenable number.

2241012241 is a deficient number, since it is larger than the sum of its proper divisors (173697623).

2241012241 is a wasteful number, since it uses less digits than its factorization.

2241012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93731.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2241012241 is about 47339.3308043111. The cubic root of 2241012241 is about 1308.6235841232.

Adding to 2241012241 its reverse (1422101422), we get a palindrome (3663113663).

The spelling of 2241012241 in words is "two billion, two hundred forty-one million, twelve thousand, two hundred forty-one".

Divisors: 1 13 1877 24401 91841 1193933 172385557 2241012241