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231004325664 = 25327338933811
BaseRepresentation
bin1101011100100011101…
…1100100011100100000
3211002021002101121200100
43113020323210130200
512241044101410124
6254042200222400
722455334241010
oct3271073443440
9732232347610
10231004325664
1189a71a12a42
123892aa6aa00
1318a257a72c8
14b275a81c40
1560203361c9
hex35c8ee4720

231004325664 has 144 divisors (see below), whose sum is σ = 751007799360. Its totient is φ = 65979809280.

The previous prime is 231004325647. The next prime is 231004325683. The reversal of 231004325664 is 466523400132.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6815319 + ... + 6849129.

It is an arithmetic number, because the mean of its divisors is an integer number (5215331940).

Almost surely, 2231004325664 is an apocalyptic number.

231004325664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231004325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375503899680).

231004325664 is an abundant number, since it is smaller than the sum of its proper divisors (520003473696).

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

231004325664 is a wasteful number, since it uses less digits than its factorization.

231004325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37223 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 231004325664 its reverse (466523400132), we get a palindrome (697527725796).

The spelling of 231004325664 in words is "two hundred thirty-one billion, four million, three hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3389 6778 10167 13556 20334 23723 27112 30501 33811 40668 47446 54224 61002 67622 71169 81336 94892 101433 108448 122004 135244 142338 162672 189784 202866 213507 236677 244008 270488 284676 304299 325344 379568 405732 427014 473354 488016 540976 569352 608598 710031 759136 811464 854028 946708 976032 1081952 1138704 1217196 1420062 1622928 1708056 1893416 2130093 2277408 2434392 2840124 3245856 3416112 3786832 4260186 4868784 5680248 6832224 7573664 8520372 9737568 11360496 17040744 22720992 34081488 68162976 114585479 229170958 343756437 458341916 687512874 802098353 916683832 1031269311 1375025748 1604196706 1833367664 2062538622 2406295059 2750051496 3208393412 3666735328 4125077244 4812590118 5500102992 6416786824 7218885177 8250154488 9625180236 11000205984 12833573648 14437770354 16500308976 19250360472 25667147296 28875540708 33000617952 38500720944 57751081416 77001441888 115502162832 231004325664