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230345031104 = 26171373114969
BaseRepresentation
bin1101011010000110100…
…0100011110111000000
3211000120010210222120022
43112201220203313000
512233221311443404
6253452525233012
722433110313306
oct3264150436700
9730503728508
10230345031104
1189763846201
1238786102768
131894c01a896
14b2122a2276
155ed25048be
hex35a1a23dc0

230345031104 has 112 divisors (see below), whose sum is σ = 489177299520. Its totient is φ = 107238850560.

The previous prime is 230345031043. The next prime is 230345031109. The reversal of 230345031104 is 401130543032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230345031109) 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 15 ways as a sum of consecutive naturals, for example, 46353932 + ... + 46358900.

It is an arithmetic number, because the mean of its divisors is an integer number (4367654460).

Almost surely, 2230345031104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230345031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244588649760).

230345031104 is an abundant number, since it is smaller than the sum of its proper divisors (258832268416).

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

230345031104 is a wasteful number, since it uses less digits than its factorization.

230345031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 230345031104 its reverse (401130543032), we get a palindrome (631475574136).

The spelling of 230345031104 in words is "two hundred thirty billion, three hundred forty-five million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 137 272 274 311 544 548 622 1088 1096 1244 2192 2329 2488 4384 4658 4969 4976 5287 8768 9316 9938 9952 10574 18632 19876 19904 21148 37264 39752 42296 42607 74528 79504 84473 84592 85214 149056 159008 168946 169184 170428 318016 337892 338368 340856 675784 680753 681712 724319 1351568 1361506 1363424 1448638 1545359 2703136 2723012 2726848 2897276 3090718 5406272 5446024 5794552 6181436 10892048 11572801 11589104 12362872 21784096 23145602 23178208 24725744 26271103 43568192 46291204 46356416 49451488 52542206 92582408 98902976 105084412 185164816 210168824 211714183 370329632 420337648 423428366 740659264 840675296 846856732 1681350592 1693713464 3387426928 3599141111 6774853856 7198282222 13549707712 14396564444 28793128888 57586257776 115172515552 230345031104