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231234425884 = 2272111743146719
BaseRepresentation
bin1101011101011010100…
…1010101010000011100
3211002212010100220211201
43113112221111100130
512242032003112014
6254121100125244
722464130122100
oct3272651252034
9732763326751
10231234425884
118a07a894710
1238993b36824
1318a61370097
14b29845b900
156035638e74
hex35d6a5541c

231234425884 has 144 divisors (see below), whose sum is σ = 556376325120. Its totient is φ = 82819376640.

The previous prime is 231234425881. The next prime is 231234425887. The reversal of 231234425884 is 488524432132.

231234425884 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231234425881) and next prime (231234425887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231234425881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502677 + ... + 1649395.

It is an arithmetic number, because the mean of its divisors is an integer number (3863724480).

Almost surely, 2231234425884 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 231234425884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278188162560).

231234425884 is an abundant number, since it is smaller than the sum of its proper divisors (325141899236).

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

231234425884 is a wasteful number, since it uses less digits than its factorization.

231234425884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146808 (or 146799 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 46.

The spelling of 231234425884 in words is "two hundred thirty-one billion, two hundred thirty-four million, four hundred twenty-five thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 43 44 49 68 77 86 98 119 154 172 187 196 238 301 308 374 473 476 539 602 731 748 833 946 1078 1204 1309 1462 1666 1892 2107 2156 2618 2924 3311 3332 4214 5117 5236 6622 8041 8428 9163 10234 13244 16082 18326 20468 23177 32164 35819 36652 46354 56287 71638 92708 112574 143276 146719 225148 293438 394009 586876 788018 1027033 1576036 1613909 2054066 2494223 3227818 4108132 4988446 6308917 6455636 7189231 9976892 11297363 12617834 14378462 17459561 22594726 25235668 27436453 28756924 34919122 44162419 45189452 54872906 69398087 69838244 79081541 88324838 107251589 109745812 122216927 138796174 158163082 176649676 192055171 214503178 244433854 277592348 309136933 316326164 384110342 429006356 485786609 488867708 618273866 750761123 768220684 971573218 1179767479 1236547732 1344386197 1501522246 1943146436 2359534958 2688772394 3003044492 3400506263 4719069916 5255327861 5377544788 6801012526 8258372353 10510655722 13602025052 16516744706 21021311444 33033489412 57808606471 115617212942 231234425884