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232205040253240 = 235295919917049379
BaseRepresentation
bin110100110011000001110010…
…111100000111100100111000
31010110011120210111120202010221
4310303001302330013210320
5220413421410301100430
62141505304533545424
766624155235635005
oct6463016274074470
91113146714522127
10232205040253240
1167a9567171722a
1222062a861a5274
139c74ac2565112
14414aad90c08ac
151bca2bca2357a
hexd33072f07938

232205040253240 has 128 divisors (see below), whose sum is σ = 552399912000000. Its totient is φ = 87716185514496.

The previous prime is 232205040253201. The next prime is 232205040253247. The reversal of 232205040253240 is 42352040502232.

It is a junction number, because it is equal to n+sod(n) for n = 232205040253196 and 232205040253205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205040253247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5094871 + ... + 22144249.

It is an arithmetic number, because the mean of its divisors is an integer number (4315624312500).

Almost surely, 2232205040253240 is an apocalyptic number.

232205040253240 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 232205040253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276199956000000).

232205040253240 is an abundant number, since it is smaller than the sum of its proper divisors (320194871746760).

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

232205040253240 is a wasteful number, since it uses less digits than its factorization.

232205040253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049677 (or 17049673 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 232205040253240 its reverse (42352040502232), we get a palindrome (274557080755472).

The spelling of 232205040253240 in words is "two hundred thirty-two trillion, two hundred five billion, forty million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 199 232 236 290 295 398 472 580 590 796 995 1160 1180 1592 1711 1990 2360 3422 3980 5771 6844 7960 8555 11542 11741 13688 17110 23084 23482 28855 34220 46168 46964 57710 58705 68440 93928 115420 117410 230840 234820 340489 469640 680978 1361956 1702445 2723912 3404890 6809780 13619560 17049379 34098758 68197516 85246895 136395032 170493790 340987580 494431991 681975160 988863982 1005913361 1977727964 2011826722 2472159955 3392826421 3955455928 4023653444 4944319910 5029566805 6785652842 8047306888 9888639820 10059133610 13571305684 16964132105 19777279640 20118267220 27142611368 29171487469 33928264210 40236534440 58342974938 67856528420 98391966209 116685949876 135713056840 145857437345 196783932418 200176758839 233371899752 291714874690 393567864836 400353517678 491959831045 583429749380 787135729672 800707035356 983919662090 1000883794195 1166859498760 1601414070712 1967839324180 2001767588390 3935678648360 4003535176780 5805126006331 8007070353560 11610252012662 23220504025324 29025630031655 46441008050648 58051260063310 116102520126620 232205040253240