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227505304634661 = 3237683199113017
BaseRepresentation
bin110011101110101000110100…
…110111100000010100100101
31002211112021221211212121121100
4303232220310313200110211
5214304421330441302121
62123510254421110313
765630500351205424
oct6356506467402445
91084467854777540
10227505304634661
1166543504462709
1221624076258399
1399c3873009081
14402745ba1b2bb
151b47e05cd6026
hexceea34de0525

227505304634661 has 12 divisors (see below), whose sum is σ = 337500361830892. Its totient is φ = 147571008411456.

The previous prime is 227505304634639. The next prime is 227505304634693. The reversal of 227505304634661 is 166436403505722.

227505304634661 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 0 + 530 + 4 + 6 + 3 + 46 + 61 = 666.

227505304634661 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129637694081025 + 97867610553636 = 11385855^2 + 9892806^2 .

It is not a de Polignac number, because 227505304634661 - 210 = 227505304633637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 227505304634598 and 227505304634607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227505304634611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341599556176 + ... + 341599556841.

Almost surely, 2227505304634661 is an apocalyptic number.

It is an amenable number.

227505304634661 is a deficient number, since it is larger than the sum of its proper divisors (109995057196231).

227505304634661 is a wasteful number, since it uses less digits than its factorization.

227505304634661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683199113060 (or 683199113057 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 227505304634661 in words is "two hundred twenty-seven trillion, five hundred five billion, three hundred four million, six hundred thirty-four thousand, six hundred sixty-one".

Divisors: 1 3 9 37 111 333 683199113017 2049597339051 6148792017153 25278367181629 75835101544887 227505304634661