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232012332240 = 243513113658079
BaseRepresentation
bin1101100000010100000…
…0110011110011010000
3211011212100010122202020
43120011000303303100
512300130124112430
6254330205251440
722522324166463
oct3300500636320
9734770118666
10232012332240
118a439a05227
1238b70563b80
1318b565888c0
14b32d8b52da
15607da99b10
hex3605033cd0

232012332240 has 160 divisors (see below), whose sum is σ = 781419985920. Its totient is φ = 56605237248.

The previous prime is 232012332229. The next prime is 232012332281. The reversal of 232012332240 is 42233210232.

232012332240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320123322402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232012332240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23521 + ... + 681599.

It is an arithmetic number, because the mean of its divisors is an integer number (4883874912).

Almost surely, 2232012332240 is an apocalyptic number.

232012332240 is a gapful number since it is divisible by the number (20) 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 232012332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390709992960).

232012332240 is an abundant number, since it is smaller than the sum of its proper divisors (549407653680).

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

232012332240 is a wasteful number, since it uses less digits than its factorization.

232012332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658221 (or 658215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232012332240 its reverse (42233210232), we get a palindrome (274245542472).

The spelling of 232012332240 in words is "two hundred thirty-two billion, twelve million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 113 120 130 156 195 208 226 240 260 312 339 390 452 520 565 624 678 780 904 1040 1130 1356 1469 1560 1695 1808 2260 2712 2938 3120 3390 4407 4520 5424 5876 6780 7345 8814 9040 11752 13560 14690 17628 22035 23504 27120 29380 35256 44070 58760 70512 88140 117520 176280 352560 658079 1316158 1974237 2632316 3290395 3948474 5264632 6580790 7896948 8555027 9871185 10529264 13161580 15793896 17110054 19742370 25665081 26323160 31587792 34220108 39484740 42775135 51330162 52646320 68440216 74362927 78969480 85550270 102660324 128325405 136880432 148725854 157938960 171100540 205320648 223088781 256650810 297451708 342201080 371814635 410641296 446177562 513301620 594903416 684402160 743629270 892355124 966718051 1026603240 1115443905 1189806832 1487258540 1784710248 1933436102 2053206480 2230887810 2900154153 2974517080 3569420496 3866872204 4461775620 4833590255 5800308306 5949034160 7733744408 8923551240 9667180510 11600616612 14500770765 15467488816 17847102480 19334361020 23201233224 29001541530 38668722040 46402466448 58003083060 77337444080 116006166120 232012332240