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201402220052000 = 2553114577323183
BaseRepresentation
bin101101110010110010011011…
…110010000111111000100000
3222102002212100000001011212102
4231302302123302013320200
5202344233221313131000
61552202522543345532
760264554523150422
oct5562623362077040
9872085300034772
10201402220052000
115919a224746560
121a709123bb22a8
13884c1bcac8396
1437a3cc300a812
151843e0207c3d5
hexb72c9bc87e20

201402220052000 has 96 divisors (see below), whose sum is σ = 539831187028224. Its totient is φ = 73237170912000.

The previous prime is 201402220051993. The next prime is 201402220052003. The reversal of 201402220052000 is 250022204102.

201402220052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201402220052003) 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, 2288617592 + ... + 2288705591.

It is an arithmetic number, because the mean of its divisors is an integer number (5623241531544).

Almost surely, 2201402220052000 is an apocalyptic number.

201402220052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201402220052000 is an abundant number, since it is smaller than the sum of its proper divisors (338428966976224).

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

201402220052000 is a wasteful number, since it uses less digits than its factorization.

201402220052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577323219 (or 4577323201 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 201402220052000 its reverse (250022204102), we get a palindrome (201652242256102).

It can be divided in two parts, 2014022 and 20052000, that added together give a palindrome (22066022).

The spelling of 201402220052000 in words is "two hundred one trillion, four hundred two billion, two hundred twenty million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 4577323183 9154646366 18309292732 22886615915 36618585464 45773231830 50350555013 73237170928 91546463660 100701110026 114433079575 146474341856 183092927320 201402220052 228866159150 251752775065 366185854640 402804440104 457732318300 503505550130 572165397875 732371709280 805608880208 915464636600 1007011100260 1144330795750 1258763875325 1611217760416 1830929273200 2014022200520 2288661591500 2517527750650 3661858546400 4028044401040 4577323183000 5035055501300 6293819376625 8056088802080 9154646366000 10070111002600 12587638753250 18309292732000 20140222005200 25175277506500 40280444010400 50350555013000 100701110026000 201402220052000