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232241313412000 = 2553357116258843
BaseRepresentation
bin110100110011100011100100…
…111111001111001110100000
31010110022001102102221010120101
4310303203210333033032200
5220420020202213141000
62141534104141352144
766626611150460314
oct6463434477171640
91113261372833511
10232241313412000
1167aa9a959a2292
1222069b09b68654
139c78353486779
14414c77a721b44
151bcb1e2240e6a
hexd338e4fcf3a0

232241313412000 has 96 divisors (see below), whose sum is σ = 570776734067904. Its totient is φ = 92870505504000.

The previous prime is 232241313411997. The next prime is 232241313412021. The reversal of 232241313412000 is 214313142232.

It is a super-2 number, since 2×2322413134120002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232241313412000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154579 + ... + 22413421.

It is an arithmetic number, because the mean of its divisors is an integer number (5945590979874).

Almost surely, 2232241313412000 is an apocalyptic number.

232241313412000 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 232241313412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285388367033952).

232241313412000 is an abundant number, since it is smaller than the sum of its proper divisors (338535420655904).

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

232241313412000 is a wasteful number, since it uses less digits than its factorization.

232241313412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16262439 (or 16262421 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 232241313412000 its reverse (214313142232), we get a palindrome (232455626554232).

The spelling of 232241313412000 in words is "two hundred thirty-two trillion, two hundred forty-one billion, three hundred thirteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3571 4000 7142 14284 17855 28568 35710 57136 71420 89275 114272 142840 178550 285680 357100 446375 571360 714200 892750 1428400 1785500 2856800 3571000 7142000 14284000 16258843 32517686 65035372 81294215 130070744 162588430 260141488 325176860 406471075 520282976 650353720 812942150 1300707440 1625884300 2032355375 2601414880 3251768600 4064710750 6503537200 8129421500 13007074400 16258843000 32517686000 58060328353 65035372000 116120656706 232241313412 290301641765 464482626824 580603283530 928965253648 1161206567060 1451508208825 1857930507296 2322413134120 2903016417650 4644826268240 5806032835300 7257541044125 9289652536480 11612065670600 14515082088250 23224131341200 29030164176500 46448262682400 58060328353000 116120656706000 232241313412000