Search a number
-
+
2233225241 = 131011819397
BaseRepresentation
bin1000010100011100…
…0101000000011001
312202122012121002222
42011013011000121
514033201201431
61005333433425
7106225046522
oct20507050031
95678177088
102233225241
11a466631a5
12523a9b875
13297895670
14172849849
15d10d157b
hex851c5019

2233225241 has 16 divisors (see below), whose sum is σ = 2442502608. Its totient is φ = 2029536000.

The previous prime is 2233225237. The next prime is 2233225279. The reversal of 2233225241 is 1425223322.

It can be written as a sum of positive squares in 8 ways, for example, as 709103641 + 1524121600 = 26629^2 + 39040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233225241 - 22 = 2233225237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2233225241.

It is not an unprimeable number, because it can be changed into a prime (2233225231) 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 15 ways as a sum of consecutive naturals, for example, 232955 + ... + 242351.

It is an arithmetic number, because the mean of its divisors is an integer number (152656413).

Almost surely, 22233225241 is an apocalyptic number.

It is an amenable number.

2233225241 is a deficient number, since it is larger than the sum of its proper divisors (209277367).

2233225241 is a wasteful number, since it uses less digits than its factorization.

2233225241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692.

The product of its digits is 5760, while the sum is 26.

The square root of 2233225241 is about 47257.0126118865. The cubic root of 2233225241 is about 1307.1061035513.

Adding to 2233225241 its reverse (1425223322), we get a palindrome (3658448563).

The spelling of 2233225241 in words is "two billion, two hundred thirty-three million, two hundred twenty-five thousand, two hundred forty-one".

Divisors: 1 13 101 181 1313 2353 9397 18281 122161 237653 949097 1700857 12338261 22111141 171786557 2233225241