Search a number
-
+
2224253872153 is a prime number
BaseRepresentation
bin100000010111011111110…
…111001010100000011001
321212122012002001220021201
4200113133313022200121
5242420232442402103
64421450315434201
7316461040652425
oct40273767124031
97778162056251
102224253872153
11788334363125
122bb0aa155961
13131991649891
1479923bb3b85
153ccd088e51d
hex205dfdca819

2224253872153 has 2 divisors, whose sum is σ = 2224253872154. Its totient is φ = 2224253872152.

The previous prime is 2224253872097. The next prime is 2224253872193. The reversal of 2224253872153 is 3512783524222.

2224253872153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198138342544 + 26115529609 = 1482612^2 + 161603^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224253872153 - 217 = 2224253741081 is a prime.

It is a super-2 number, since 2×22242538721532 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2224253872193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112126936076 + 1112126936077.

It is an arithmetic number, because the mean of its divisors is an integer number (1112126936077).

Almost surely, 22224253872153 is an apocalyptic number.

It is an amenable number.

2224253872153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224253872153 is an equidigital number, since it uses as much as digits as its factorization.

2224253872153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 46.

The spelling of 2224253872153 in words is "two trillion, two hundred twenty-four billion, two hundred fifty-three million, eight hundred seventy-two thousand, one hundred fifty-three".