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233230020022000 = 24534314091924753
BaseRepresentation
bin110101000001111100011000…
…011111101000111011110000
31010120210120110002211220101201
4311001330120133220323300
5221032220040111201000
62144012220403340544
7100061212214134141
oct6501743037507360
91116716402756351
10233230020022000
1168350329010111
12221a9659981754
13a01a65bb02701
144184570d25ac8
151be6cac2b296a
hexd41f187e8ef0

233230020022000 has 160 divisors (see below), whose sum is σ = 577475165741760. Its totient is φ = 91057707417600.

The previous prime is 233230020021949. The next prime is 233230020022063. The reversal of 233230020022000 is 220020032332.

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, 120211624 + ... + 122136376.

It is an arithmetic number, because the mean of its divisors is an integer number (3609219785886).

Almost surely, 2233230020022000 is an apocalyptic number.

233230020022000 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 233230020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288737582870880).

233230020022000 is an abundant number, since it is smaller than the sum of its proper divisors (344245145719760).

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

233230020022000 is a wasteful number, since it uses less digits than its factorization.

233230020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926228 (or 1926212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 233230020022000 its reverse (220020032332), we get a palindrome (233450040054332).

The spelling of 233230020022000 in words is "two hundred thirty-three trillion, two hundred thirty billion, twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1409 1720 2000 2150 2818 3440 4300 5375 5636 7045 8600 10750 11272 14090 17200 21500 22544 28180 35225 43000 56360 60587 70450 86000 112720 121174 140900 176125 242348 281800 302935 352250 484696 563600 605870 704500 969392 1211740 1409000 1514675 1924753 2423480 2818000 3029350 3849506 4846960 6058700 7573375 7699012 9623765 12117400 15146750 15398024 19247530 24234800 30293500 30796048 38495060 48118825 60587000 76990120 82764379 96237650 121174000 153980240 165528758 192475300 240594125 331057516 384950600 413821895 481188250 662115032 769901200 827643790 962376500 1324230064 1655287580 1924753000 2069109475 2711976977 3310575160 3849506000 4138218950 5423953954 6621150320 8276437900 10345547375 10847907908 13559884885 16552875800 20691094750 21695815816 27119769770 33105751600 41382189500 43391631632 54239539540 67799424425 82764379000 108479079080 116615010011 135598848850 165528758000 216958158160 233230020022 271197697700 338997122125 466460040044 542395395400 583075050055 677994244250 932920080088 1084790790800 1166150100110 1355988488500 1865840160176 2332300200220 2711976977000 2915375250275 4664600400440 5423953954000 5830750500550 9329200800880 11661501001100 14576876251375 23323002002200 29153752502750 46646004004400 58307505005500 116615010011000 233230020022000