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232215102323040 = 25352112292803143
BaseRepresentation
bin110100110011001011001010…
…101011110111100101100000
31010110012112202202010212000210
4310303023022223313211200
5220414103012143314130
62141514051215014120
766624662466054324
oct6463131253674540
91113175682125023
10232215102323040
1167a999654761a1
1222064a13b0a340
139c75a37075685
14414b3b159d984
151bca6ab0925b0
hexd332caaf7960

232215102323040 has 96 divisors (see below), whose sum is σ = 734944290990336. Its totient is φ = 61630548456960.

The previous prime is 232215102323033. The next prime is 232215102323047. The reversal of 232215102323040 is 40323201512232.

It is an interprime number because it is at equal distance from previous prime (232215102323033) and next prime (232215102323047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232215102322989 and 232215102323007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232215102323047) 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, 1146300292 + ... + 1146502851.

It is an arithmetic number, because the mean of its divisors is an integer number (7655669697816).

Almost surely, 2232215102323040 is an apocalyptic number.

232215102323040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232215102323040 is an abundant number, since it is smaller than the sum of its proper divisors (502729188667296).

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

232215102323040 is a wasteful number, since it uses less digits than its factorization.

232215102323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292803372 (or 2292803364 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 232215102323040 its reverse (40323201512232), we get a palindrome (272538303835272).

The spelling of 232215102323040 in words is "two hundred thirty-two trillion, two hundred fifteen billion, one hundred two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 33760 50640 101280 2292803143 4585606286 6878409429 9171212572 11464015715 13756818858 18342425144 22928031430 27513637716 34392047145 36684850288 45856062860 55027275432 68784094290 73369700576 91712125720 110054550864 137568188580 183424251440 220109101728 275136377160 366848502880 483781463173 550272754320 967562926346 1100545508640 1451344389519 1935125852692 2418907315865 2902688779038 3870251705384 4837814631730 5805377558076 7256721947595 7740503410768 9675629263460 11610755116152 14513443895190 15481006821536 19351258526920 23221510232304 29026887790380 38702517053840 46443020464608 58053775580760 77405034107680 116107551161520 232215102323040