Search a number
-
+
12184848225 = 34521122232
BaseRepresentation
bin10110101100100011…
…00000011101100001
31011110011221102110000
423112101200131201
5144423310120400
65333031330213
7610644333564
oct132621403541
934404842400
1012184848225
115193035900
122440820969
1311c2545384
148383b84db
154b4ad5600
hex2d6460761

12184848225 has 135 divisors (see below), whose sum is σ = 24920702499. Its totient is φ = 5881312800.

The previous prime is 12184848197. The next prime is 12184848317. The reversal of 12184848225 is 52284848121.

It is a happy number.

The square root of 12184848225 is 110385.

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

12184848225 is a `hidden beast` number, since 121 + 8 + 48 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4386545361 + 7798302864 = 66231^2 + 88308^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 12184848225 - 215 = 12184815457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 54640464 + ... + 54640686.

Almost surely, 212184848225 is an apocalyptic number.

12184848225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12184848225 is the 110385-th square number.

12184848225 is the 55193-rd centered octagonal number.

It is an amenable number.

12184848225 is an abundant number, since it is smaller than the sum of its proper divisors (12735854274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12184848225 is an equidigital number, since it uses as much as digits as its factorization.

12184848225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The spelling of 12184848225 in words is "twelve billion, one hundred eighty-four million, eight hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 223 225 275 297 363 405 495 605 669 675 825 891 1089 1115 1485 1815 2007 2025 2453 2475 3025 3267 3345 4455 5445 5575 6021 7359 7425 9075 9801 10035 12265 16335 16725 18063 22077 22275 26983 27225 30105 36795 49005 49729 50175 61325 66231 80949 81675 90315 110385 134915 149187 150525 183975 198693 242847 245025 248645 331155 404745 447561 451575 547019 551925 674575 728541 745935 993465 1214235 1243225 1342683 1641057 1655775 2023725 2185623 2237805 2735095 3642705 3729675 4028049 4923171 4967325 6017209 6071175 6713415 8205285 10928115 11189025 13675475 14769513 18051627 18213525 20140245 24615855 30086045 33567075 41026425 44308539 54154881 54640575 73847565 90258135 100701225 123079275 150430225 162464643 221542695 270774405 369237825 451290675 487393929 812323215 1107713475 1353872025 2436969645 4061616075 12184848225