Search a number
-
+
225234344031345 = 32511538585261827
BaseRepresentation
bin110011001101100101110101…
…000100010011010001110001
31002112111012012200211221020200
4303031211311010103101301
5214010214414033000340
62115011121302025413
765304434004446055
oct6315456504232161
91075435180757220
10225234344031345
11658483923a4120
1221317b12118269
13988a679cb607c
143d89586a5dc65
151b08cdec75330
hexccd975113471

225234344031345 has 48 divisors (see below), whose sum is σ = 433933473834432. Its totient is φ = 107144067588480.

The previous prime is 225234344031337. The next prime is 225234344031391. The reversal of 225234344031345 is 543130443432522.

225234344031345 is a `hidden beast` number, since 2 + 2 + 5 + 234 + 3 + 4 + 40 + 31 + 345 = 666.

It is not a de Polignac number, because 225234344031345 - 23 = 225234344031337 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225234344031345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4292604679 + ... + 4292657148.

It is an arithmetic number, because the mean of its divisors is an integer number (9040280704884).

Almost surely, 2225234344031345 is an apocalyptic number.

It is an amenable number.

225234344031345 is a deficient number, since it is larger than the sum of its proper divisors (208699129803087).

225234344031345 is a wasteful number, since it uses less digits than its factorization.

225234344031345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585261902 (or 8585261899 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 225234344031345 its reverse (543130443432522), we get a palindrome (768364787463867).

The spelling of 225234344031345 in words is "two hundred twenty-five trillion, two hundred thirty-four billion, three hundred forty-four million, thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 53 55 99 159 165 265 477 495 583 795 1749 2385 2915 5247 8745 26235 8585261827 25755785481 42926309135 77267356443 94437880097 128778927405 283313640291 386336782215 455018876831 472189400485 849940920873 1365056630493 1416568201455 2275094384155 4095169891479 4249704604365 5005207645141 6825283152465 15015622935423 20475849457395 25026038225705 45046868806269 75078114677115 225234344031345