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22132333011000 = 233538982892633
BaseRepresentation
bin1010000100001000101011…
…10110001110000000111000
32220100211102100012211200110
411002010111312032000320
510400104004222323000
6115023241534504320
74443002562404442
oct502042566160070
986324370184613
1022132333011000
1170632a6aa5713
1225954896650a0
13c470bab823c4
145672d3d99492
15285aa5919850
hex142115d8e038

22132333011000 has 128 divisors (see below), whose sum is σ = 69828754881600. Its totient is φ = 5835641292800.

The previous prime is 22132333010987. The next prime is 22132333011007. The reversal of 22132333011000 is 11033323122.

22132333011000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221323330110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132333011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41179317 + ... + 41713316.

Almost surely, 222132333011000 is an apocalyptic number.

22132333011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132333011000 is an abundant number, since it is smaller than the sum of its proper divisors (47696421870600).

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

22132333011000 is a wasteful number, since it uses less digits than its factorization.

22132333011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82892746 (or 82892732 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22132333011000 its reverse (11033323122), we get a palindrome (22143366334122).

The spelling of 22132333011000 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirty-three million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 22250 26700 33375 44500 53400 66750 89000 133500 267000 82892633 165785266 248677899 331570532 414463165 497355798 663141064 828926330 994711596 1243389495 1657852660 1989423192 2072315825 2486778990 3315705320 4144631650 4973557980 6216947475 7377444337 8289263300 9947115960 10361579125 12433894950 14754888674 16578526600 20723158250 22132333011 24867789900 29509777348 31084737375 36887221685 41446316500 44264666022 49735579800 59019554696 62169474750 73774443370 82892633000 88529332044 110661665055 124338949500 147548886740 177058664088 184436108425 221323330110 248677899000 295097773480 368872216850 442646660220 553308325275 737744433700 885293320440 922180542125 1106616650550 1475488867400 1844361084250 2213233301100 2766541626375 3688722168500 4426466602200 5533083252750 7377444337000 11066166505500 22132333011000