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242234231000 = 23532697691171
BaseRepresentation
bin1110000110011001001…
…0010000100011011000
3212011020201102220202012
43201212102100203120
512432043430343000
6303140400125052
723333534663546
oct3414622204330
9764221386665
10242234231000
11938049aa043
123ab43906788
1319ac5229ac8
14ba1d2bad96
15647b18a735
hex38664908d8

242234231000 has 128 divisors (see below), whose sum is σ = 570161592000. Its totient is φ = 96325632000.

The previous prime is 242234230949. The next prime is 242234231101. The reversal of 242234231000 is 132432242.

It is a super-2 number, since 2×2422342310002 (a number of 24 digits) contains 22 as substring.

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, 206860415 + ... + 206861585.

Almost surely, 2242234231000 is an apocalyptic number.

242234231000 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 242234231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285080796000).

242234231000 is an abundant number, since it is smaller than the sum of its proper divisors (327927361000).

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

242234231000 is a wasteful number, since it uses less digits than its factorization.

242234231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242234231000 its reverse (132432242), we get a palindrome (242366663242).

The spelling of 242234231000 in words is "two hundred forty-two billion, two hundred thirty-four million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 269 500 538 769 1000 1076 1171 1345 1538 2152 2342 2690 3076 3845 4684 5380 5855 6152 6725 7690 9368 10760 11710 13450 15380 19225 23420 26900 29275 30760 33625 38450 46840 53800 58550 67250 76900 96125 117100 134500 146375 153800 192250 206861 234200 269000 292750 314999 384500 413722 585500 629998 769000 827444 900499 1034305 1171000 1259996 1574995 1654888 1800998 2068610 2519992 3149990 3601996 4137220 4502495 5171525 6299980 7203992 7874975 8274440 9004990 10343050 12599960 15749950 18009980 20686100 22512475 25857625 31499900 36019960 39374875 41372200 45024950 51715250 62999800 78749750 90049900 103430500 112562375 157499500 180099800 206861000 225124750 242234231 314999000 450249500 484468462 900499000 968936924 1211171155 1937873848 2422342310 4844684620 6055855775 9689369240 12111711550 24223423100 30279278875 48446846200 60558557750 121117115500 242234231000