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225740546460561 = 311311628391355113
BaseRepresentation
bin110011010100111101010001…
…000101010100101110010001
31002121021120210211000200211210
4303110331101011110232101
5214042013114343214221
62120035435252530333
765356134116216436
oct6324752105245621
91077246724020753
10225740546460561
1165a23034484480
122139a0443209a9
1398c631c1277b2
143da5c87907b8d
151b1706a17a276
hexcd4f51154b91

225740546460561 has 32 divisors (see below), whose sum is σ = 338944149135360. Its totient is φ = 132398236713600.

The previous prime is 225740546460547. The next prime is 225740546460593. The reversal of 225740546460561 is 165064645047522.

It is not a de Polignac number, because 225740546460561 - 26 = 225740546460497 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (225740546460361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 165906741 + ... + 167261853.

It is an arithmetic number, because the mean of its divisors is an integer number (10592004660480).

Almost surely, 2225740546460561 is an apocalyptic number.

It is an amenable number.

225740546460561 is a deficient number, since it is larger than the sum of its proper divisors (113203602674799).

225740546460561 is a wasteful number, since it uses less digits than its factorization.

225740546460561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517997.

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 225740546460561 in words is "two hundred twenty-five trillion, seven hundred forty billion, five hundred forty-six million, four hundred sixty thousand, five hundred sixty-one".

Divisors: 1 3 11 31 33 93 341 1023 162839 488517 1355113 1791229 4065339 5048009 5373687 14906243 15144027 42008503 44718729 55528099 126025509 166584297 462093533 1386280599 220665245807 661995737421 2427317703877 6840622620017 7281953111631 20521867860051 75246848820187 225740546460561