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230577692157 = 32233277396953
BaseRepresentation
bin1101011010111110000…
…0000101110111111101
3211001011100121101112100
43112233200011313331
512234210342122112
6253532000055313
722441634021361
oct3265740056775
9731140541470
10230577692157
118987310696a
1238830004539
131898829c147
14b2351472a1
155ee7b612dc
hex35af805dfd

230577692157 has 24 divisors (see below), whose sum is σ = 335694470904. Its totient is φ = 152505782784.

The previous prime is 230577692153. The next prime is 230577692167. The reversal of 230577692157 is 751296775032.

230577692157 is a `hidden beast` number, since 2 + 3 + 0 + 577 + 69 + 2 + 1 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24492563001 + 206085129156 = 156501^2 + 453966^2 .

It is not a de Polignac number, because 230577692157 - 22 = 230577692153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230577692153) 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 23 ways as a sum of consecutive naturals, for example, 382393 + ... + 779345.

It is an arithmetic number, because the mean of its divisors is an integer number (13987269621).

Almost surely, 2230577692157 is an apocalyptic number.

It is an amenable number.

230577692157 is a deficient number, since it is larger than the sum of its proper divisors (105116778747).

230577692157 is a wasteful number, since it uses less digits than its factorization.

230577692157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397469 (or 397466 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 230577692157 in words is "two hundred thirty billion, five hundred seventy-seven million, six hundred ninety-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 233 277 699 831 2097 2493 64541 193623 396953 580869 1190859 3572577 92490049 109955981 277470147 329867943 832410441 989603829 25619743573 76859230719 230577692157