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2288088845449 = 11217280892
BaseRepresentation
bin100001010010111100101…
…110010000110010001001
322002201221211211112101221
4201102330232100302021
5244442001221023244
64511044500442041
7324210655200331
oct41227456206211
98081854745357
102288088845449
11802411559400
1230b5443a9321
131379c5767a24
147ca5bb000c1
153e7b9b1a784
hex214bcb90c89

2288088845449 has 27 divisors (see below), whose sum is σ = 2671981089141. Its totient is φ = 1957481053440.

The previous prime is 2288088845429. The next prime is 2288088845513. The reversal of 2288088845449 is 9445488808822.

The square root of 2288088845449 is 1512643.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 314535897225 + 1973552948224 = 560835^2 + 1404832^2 .

It is not a de Polignac number, because 2288088845449 - 219 = 2288088321161 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2288088845429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282860197 + ... + 282868285.

Almost surely, 22288088845449 is an apocalyptic number.

2288088845449 is the 1512643-rd square number.

2288088845449 is the 756322-nd centered octagonal number.

It is an amenable number.

2288088845449 is a deficient number, since it is larger than the sum of its proper divisors (383892243692).

2288088845449 is an frugal number, since it uses more digits than its factorization.

2288088845449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 377487360, while the sum is 70.

It can be divided in two parts, 22880 and 88845449, that added together give a square (88868329 = 94272).

The spelling of 2288088845449 in words is "two trillion, two hundred eighty-eight billion, eighty-eight million, eight hundred forty-five thousand, four hundred forty-nine".

Divisors: 1 11 17 121 187 289 2057 3179 8089 34969 88979 137513 978769 1512643 2337721 16639073 25714931 65431921 282864241 719751131 1112342657 7917262441 12235769227 18909825169 134593461497 208008076859 2288088845449