Search a number
-
+
225240234430311 = 32311674294821821
BaseRepresentation
bin110011001101101011010100…
…001010011000111101100111
31002112111202102012200012120100
4303031223110022120331213
5214010314000003232221
62115013534001435143
765305032661143642
oct6315532412307547
91075452365605510
10225240234430311
116584a935376041
122131909693bab3
13988b0a8459249
143d8998509ca59
151b09036e5d926
hexccdad4298f67

225240234430311 has 24 divisors (see below), whose sum is σ = 335844145503360. Its totient is φ = 145315382212800.

The previous prime is 225240234430273. The next prime is 225240234430313. The reversal of 225240234430311 is 113034432042522.

225240234430311 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 4 + 0 + 2 + 344 + 303 + 1 + 1 = 666.

It is not a de Polignac number, because 225240234430311 - 29 = 225240234429799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225240234430313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44301781 + ... + 49123601.

It is an arithmetic number, because the mean of its divisors is an integer number (13993506062640).

Almost surely, 2225240234430311 is an apocalyptic number.

225240234430311 is a deficient number, since it is larger than the sum of its proper divisors (110603911073049).

225240234430311 is a wasteful number, since it uses less digits than its factorization.

225240234430311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989287 (or 4989284 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 225240234430311 its reverse (113034432042522), we get a palindrome (338274666472833).

The spelling of 225240234430311 in words is "two hundred twenty-five trillion, two hundred forty billion, two hundred thirty-four million, four hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 31 93 279 167429 502287 1506861 4821821 5190299 14465463 15570897 43396389 46712691 149476451 448429353 1345288059 807312668209 2421938004627 7265814013881 25026692714479 75080078143437 225240234430311