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230511354264 = 23323669187257
BaseRepresentation
bin1101011010101110001…
…1000010000110011000
3211000222201210002001100
43112223203002012120
512234041401314024
6253521230151400
722440200116422
oct3265343020630
9730881702040
10230511354264
1189839717264
1238811952560
1318977613459
14b22a3d9812
155ee1e0a7c9
hex35ab8c2198

230511354264 has 48 divisors (see below), whose sum is σ = 624325754520. Its totient is φ = 76834143360.

The previous prime is 230511354263. The next prime is 230511354287. The reversal of 230511354264 is 462453115032.

230511354264 is a `hidden beast` number, since 2 + 3 + 0 + 51 + 1 + 3 + 542 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230511354263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2598124 + ... + 2685380.

Almost surely, 2230511354264 is an apocalyptic number.

230511354264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230511354264 is an abundant number, since it is smaller than the sum of its proper divisors (393814400256).

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

230511354264 is a wasteful number, since it uses less digits than its factorization.

230511354264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123960 (or 123953 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 230511354264 its reverse (462453115032), we get a palindrome (692964469296).

The spelling of 230511354264 in words is "two hundred thirty billion, five hundred eleven million, three hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 36691 73382 87257 110073 146764 174514 220146 261771 293528 330219 349028 440292 523542 660438 698056 785313 880584 1047084 1320876 1570626 2094168 2641752 3141252 6282504 3201546587 6403093174 9604639761 12806186348 19209279522 25612372696 28813919283 38418559044 57627838566 76837118088 115255677132 230511354264