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22012212112220 = 22511891774763347
BaseRepresentation
bin1010000000101000111100…
…00101010110101101011100
32212221100100220112221020102
411000110132011112231130
510341122002300042340
6114452134243040232
74431221064535451
oct500243605265534
985840326487212
1022012212112220
117017365975550
122576145370078
13c38986917cc5
1456157a981828
152828c5032215
hex14051e156b5c

22012212112220 has 96 divisors (see below), whose sum is σ = 50998261789440. Its totient is φ = 7913932336640.

The previous prime is 22012212112211. The next prime is 22012212112223. The reversal of 22012212112220 is 2221121221022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22012212112192 and 22012212112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012212112223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347454587 + ... + 347517933.

It is an arithmetic number, because the mean of its divisors is an integer number (531231893640).

Almost surely, 222012212112220 is an apocalyptic number.

22012212112220 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 22012212112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25499130894720).

22012212112220 is an abundant number, since it is smaller than the sum of its proper divisors (28986049677220).

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

22012212112220 is a wasteful number, since it uses less digits than its factorization.

22012212112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81203 (or 81201 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22012212112220 its reverse (2221121221022), we get a palindrome (24233333333242).

The spelling of 22012212112220 in words is "twenty-two trillion, twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 17747 19580 35494 63347 70988 88735 126694 177470 195217 253388 316735 354940 390434 633470 696817 780868 976085 1266940 1393634 1579483 1952170 2787268 3158966 3484085 3904340 5637883 6317932 6968170 7897415 11275766 13936340 15794830 17374313 22551532 28189415 31589660 34748626 56378830 62016713 69497252 86871565 112757660 124033426 173743130 248066852 310083565 347486260 620167130 1124219209 1240334260 2248438418 4496876836 5621096045 11242192090 12366411299 22484384180 24732822598 49465645196 61832056495 100055509601 123664112990 200111019202 247328225980 400222038404 500277548005 1000555096010 1100610605611 2001110192020 2201221211222 4402442422444 5503053028055 11006106056110 22012212112220