Search a number
-
+
225005744009 is a prime number
BaseRepresentation
bin1101000110001101100…
…0110010111110001001
3210111210001000002121102
43101203120302332021
512141302432302014
6251211033551145
722153565160524
oct3214330627611
9714701002542
10225005744009
1187473970842
1237735b754b5
13182aaab6cc7
14ac67121bbb
155cbd8cd8de
hex3463632f89

225005744009 has 2 divisors, whose sum is σ = 225005744010. Its totient is φ = 225005744008.

The previous prime is 225005743997. The next prime is 225005744023. The reversal of 225005744009 is 900447500522.

225005744009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162006250000 + 62999494009 = 402500^2 + 250997^2 .

It is a cyclic number.

It is not a de Polignac number, because 225005744009 - 24 = 225005743993 is a prime.

It is not a weakly prime, because it can be changed into another prime (225005744059) 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, 112502872004 + 112502872005.

It is an arithmetic number, because the mean of its divisors is an integer number (112502872005).

Almost surely, 2225005744009 is an apocalyptic number.

It is an amenable number.

225005744009 is a deficient number, since it is larger than the sum of its proper divisors (1).

225005744009 is an equidigital number, since it uses as much as digits as its factorization.

225005744009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 225005744009 in words is "two hundred twenty-five billion, five million, seven hundred forty-four thousand, nine".