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225141510266141 = 7239671158236627
BaseRepresentation
bin110011001100001111010111…
…101111100101110100011101
31002112011022120221202001001112
4303030033113233211310131
5214002204303112004031
62114500325412151405
765264636335454300
oct6314172757456435
91075138527661045
10225141510266141
1165811a84133317
1221301b24308565
1398819a4073b61
143d84c9b66cb37
151b066a9c3e62b
hexccc3d7be5d1d

225141510266141 has 12 divisors (see below), whose sum is σ = 261965327574528. Its totient is φ = 192929791266072.

The previous prime is 225141510265961. The next prime is 225141510266149. The reversal of 225141510266141 is 141662015141522.

It is a de Polignac number, because none of the positive numbers 2k-225141510266141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225141510266149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578923931 + ... + 579312696.

It is an arithmetic number, because the mean of its divisors is an integer number (21830443964544).

Almost surely, 2225141510266141 is an apocalyptic number.

It is an amenable number.

225141510266141 is a deficient number, since it is larger than the sum of its proper divisors (36823817308387).

225141510266141 is a wasteful number, since it uses less digits than its factorization.

225141510266141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158240608 (or 1158240601 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 225141510266141 in words is "two hundred twenty-five trillion, one hundred forty-one billion, five hundred ten million, two hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 7 49 3967 27769 194383 1158236627 8107656389 56753594723 4594724699309 32163072895163 225141510266141