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232024445530240 = 27511231432957297
BaseRepresentation
bin110100110000011001100110…
…101001111011000010000000
31010102112022122112202021022111
4310300121212221323002000
5220402442031023431430
62141250320410145104
766605133026054416
oct6460314651730200
91112468575667274
10232024445530240
1167a26018700940
1222033a85422194
139c60a71651b8c
1441420863132b6
151bc574cee0c2a
hexd30666a7b080

232024445530240 has 128 divisors (see below), whose sum is σ = 631418303790720. Its totient is φ = 80704154910720.

The previous prime is 232024445530237. The next prime is 232024445530247. The reversal of 232024445530240 is 42035544420232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232024445530193 and 232024445530202.

It is not an unprimeable number, because it can be changed into a prime (232024445530247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716316729 + ... + 716640568.

It is an arithmetic number, because the mean of its divisors is an integer number (4932955498365).

Almost surely, 2232024445530240 is an apocalyptic number.

232024445530240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232024445530240 is an abundant number, since it is smaller than the sum of its proper divisors (399393858260480).

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

232024445530240 is a wasteful number, since it uses less digits than its factorization.

232024445530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432957350 (or 1432957338 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 232024445530240 its reverse (42035544420232), we get a palindrome (274059989950472).

The spelling of 232024445530240 in words is "two hundred thirty-two trillion, twenty-four billion, four hundred forty-five million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1408 1472 1760 1840 2024 2530 2944 3520 3680 4048 5060 7040 7360 8096 10120 14720 16192 20240 32384 40480 80960 161920 1432957297 2865914594 5731829188 7164786485 11463658376 14329572970 15762530267 22927316752 28659145940 31525060534 32958017831 45854633504 57318291880 63050121068 65916035662 78812651335 91709267008 114636583760 126100242136 131832071324 157625302670 164790089155 183418534016 229273167520 252200484272 263664142648 315250605340 329580178310 362538196141 458546335040 504400968544 527328285296 630501210680 659160356620 725076392282 917092670080 1008801937088 1054656570592 1261002421360 1318320713240 1450152784564 1812690980705 2017603874176 2109313141184 2522004842720 2636641426480 2900305569128 3625381961410 4218626282368 5044009685440 5273282852960 5800611138256 7250763922820 10088019370880 10546565705920 11601222276512 14501527845640 21093131411840 23202444553024 29003055691280 46404889106048 58006111382560 116012222765120 232024445530240