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22022200012000 = 255314833712441
BaseRepresentation
bin1010000000111011100010…
…11010001010110011100000
32212222022010222112210222111
411000131301122022303200
510341302431200341000
6114500505314245104
74432023434353006
oct500356132126340
985868128483874
1022022200012000
117020620875481
122578072286794
13c398b8c59986
14561c47274a76
15282cabceecba
hex14077168ace0

22022200012000 has 96 divisors (see below), whose sum is σ = 54145045884384. Its totient is φ = 8802937728000.

The previous prime is 22022200011971. The next prime is 22022200012009. The reversal of 22022200012000 is 21000222022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022200012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4075780 + ... + 7788220.

It is an arithmetic number, because the mean of its divisors is an integer number (564010894629).

Almost surely, 222022200012000 is an apocalyptic number.

22022200012000 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 22022200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072522942192).

22022200012000 is an abundant number, since it is smaller than the sum of its proper divisors (32122845872384).

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

22022200012000 is a wasteful number, since it uses less digits than its factorization.

22022200012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713949 (or 3713931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22022200012000 its reverse (21000222022), we get a palindrome (22043200234022).

The spelling of 22022200012000 in words is "twenty-two trillion, twenty-two billion, two hundred million, 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 1483 2000 2966 4000 5932 7415 11864 14830 23728 29660 37075 47456 59320 74150 118640 148300 185375 237280 296600 370750 593200 741500 1186400 1483000 2966000 3712441 5932000 7424882 14849764 18562205 29699528 37124410 59399056 74248820 92811025 118798112 148497640 185622050 296995280 371244100 464055125 593990560 742488200 928110250 1484976400 1856220500 2969952800 3712441000 5505550003 7424882000 11011100006 14849764000 22022200012 27527750015 44044400024 55055500030 88088800048 110111000060 137638750075 176177600096 220222000120 275277500150 440444000240 550555000300 688193750375 880888000480 1101110000600 1376387500750 2202220001200 2752775001500 4404440002400 5505550003000 11011100006000 22022200012000