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235273013232 = 24343791133
BaseRepresentation
bin1101101100011101011…
…1010100011111110000
3211111021120200102011220
43123013113110133300
512323314342410412
6300025525105040
722666166421165
oct3330727243760
9744246612156
10235273013232
1190862534104
1239720558180
1319255c8233a
14b55c97806c
1561bee8268c
hex36c75d47f0

235273013232 has 160 divisors (see below), whose sum is σ = 635418854400. Its totient is φ = 74961589248.

The previous prime is 235273013231. The next prime is 235273013243. The reversal of 235273013232 is 232310372532.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 235273013193 and 235273013202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235273013231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082062008 + ... + 2082062120.

It is an arithmetic number, because the mean of its divisors is an integer number (3971367840).

Almost surely, 2235273013232 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 235273013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317709427200).

235273013232 is an abundant number, since it is smaller than the sum of its proper divisors (400145841168).

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

235273013232 is an frugal number, since it uses more digits than its factorization.

235273013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

Adding to 235273013232 its reverse (232310372532), we get a palindrome (467583385764).

The spelling of 235273013232 in words is "two hundred thirty-five billion, two hundred seventy-three million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 79 86 113 129 158 172 226 237 258 316 339 344 452 474 516 632 678 688 904 948 1032 1264 1356 1808 1896 2064 2712 3397 3792 4859 5424 6794 8927 9718 10191 12769 13588 14577 17854 19436 20382 25538 26781 27176 29154 35708 38307 38872 40764 51076 53562 54352 58308 71416 76614 77744 81528 102152 107124 116616 142832 153228 163056 204304 214248 233232 306456 383861 428496 549067 612912 767722 1008751 1098134 1151583 1442897 1535444 1647201 2017502 2196268 2303166 2885794 3026253 3070888 3294402 4035004 4328691 4392536 4606332 5771588 6052506 6141776 6588804 8070008 8657382 8785072 9212664 11543176 12105012 13177608 16140016 17314764 18425328 23086352 24210024 26355216 34629528 43376293 48420048 62044571 69259056 86752586 113988863 124089142 130128879 173505172 186133713 227977726 248178284 260257758 341966589 347010344 372267426 455955452 496356568 520515516 683933178 694020688 744534852 911910904 992713136 1041031032 1367866356 1489069704 1823821808 2082062064 2735732712 2978139408 4901521109 5471465424 9803042218 14704563327 19606084436 29409126654 39212168872 58818253308 78424337744 117636506616 235273013232