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225186128694 = 232109711404139
BaseRepresentation
bin1101000110111000100…
…0111010001100110110
3210112020121102120212200
43101232020322030312
512142140122104234
6251241000125330
722161215340432
oct3215610721466
9715217376780
10225186128694
118755677649a
1237786466846
1318309293cc7
14ac830799c2
155cce660d99
hex346e23a336

225186128694 has 24 divisors (see below), whose sum is σ = 488348083080. Its totient is φ = 74993611488.

The previous prime is 225186128663. The next prime is 225186128707. The reversal of 225186128694 is 496821681522.

225186128694 is a `hidden beast` number, since 2 + 2 + 5 + 18 + 612 + 8 + 6 + 9 + 4 = 666.

225186128694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225186128694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5682324 + ... + 5721815.

It is an arithmetic number, because the mean of its divisors is an integer number (20347836795).

Almost surely, 2225186128694 is an apocalyptic number.

225186128694 is an abundant number, since it is smaller than the sum of its proper divisors (263161954386).

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

225186128694 is a wasteful number, since it uses less digits than its factorization.

225186128694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405244 (or 11405241 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 225186128694 in words is "two hundred twenty-five billion, one hundred eighty-six million, one hundred twenty-eight thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 1097 2194 3291 6582 9873 19746 11404139 22808278 34212417 68424834 102637251 205274502 12510340483 25020680966 37531021449 75062042898 112593064347 225186128694