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22022100200000 = 2655110110501
BaseRepresentation
bin1010000000111011010110…
…11101011010101001000000
32212222021220000201211122202
411000131223131122221000
510341302230122400000
6114500451351052332
74432021113102635
oct500355335325100
985867800654582
1022022100200000
11702057a4a221a
1225780449710a8
13c398a1380914
14561c37cd218c
15282ca3185dd5
hex14076b75aa40

22022100200000 has 84 divisors (see below), whose sum is σ = 54621635843124. Its totient is φ = 8808840000000.

The previous prime is 22022100199927. The next prime is 22022100200021. The reversal of 22022100200000 is 200122022.

It can be written as a sum of positive squares in 6 ways, for example, as 18268922414656 + 3753177785344 = 4274216^2 + 1937312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54855251 + ... + 55255250.

It is an arithmetic number, because the mean of its divisors is an integer number (650257569561).

Almost surely, 222022100200000 is an apocalyptic number.

22022100200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022100200000 is an abundant number, since it is smaller than the sum of its proper divisors (32599535643124).

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

22022100200000 is an frugal number, since it uses more digits than its factorization.

22022100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110110538 (or 110110508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22022100200000 its reverse (200122022), we get a palindrome (22022300322022).

The spelling of 22022100200000 in words is "twenty-two trillion, twenty-two billion, one hundred million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 200000 110110501 220221002 440442004 550552505 880884008 1101105010 1761768016 2202210020 2752762525 3523536032 4404420040 5505525050 7047072064 8808840080 11011050100 13763812625 17617680160 22022100200 27527625250 35235360320 44044200400 55055250500 68819063125 88088400800 110110501000 137638126250 176176801600 220221002000 275276252500 344095315625 440442004000 550552505000 688190631250 880884008000 1101105010000 1376381262500 2202210020000 2752762525000 4404420040000 5505525050000 11011050100000 22022100200000