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20110222222220 = 225131091793964277
BaseRepresentation
bin1001001001010010001101…
…01001101110001110001100
32122012111222222000112121102
410210221012221232032030
510113441213342102340
6110434301502522232
74143626024322344
oct444510651561614
978174888015542
1020110222222220
116453774198a79
1223095b4896378
13b2b502848980
144d74a8b69d24
1524d1a6727215
hex124a46a6e38c

20110222222220 has 96 divisors (see below), whose sum is σ = 46153710187200. Its totient is φ = 7316087215104.

The previous prime is 20110222222219. The next prime is 20110222222301. The reversal of 20110222222220 is 2222222201102.

It is a super-2 number, since 2×201102222222202 (a number of 27 digits) contains 22 as substring.

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 = 20110222222192 and 20110222222201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090722 + ... + 7054998.

It is an arithmetic number, because the mean of its divisors is an integer number (480767814450).

Almost surely, 220110222222220 is an apocalyptic number.

20110222222220 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 20110222222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23076855093600).

20110222222220 is an abundant number, since it is smaller than the sum of its proper divisors (26043487964980).

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

20110222222220 is a wasteful number, since it uses less digits than its factorization.

20110222222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964587 (or 3964585 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20110222222220 its reverse (2222222201102), we get a palindrome (22332444423322).

The spelling of 20110222222220 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 179 218 260 358 436 545 716 895 1090 1417 1790 2180 2327 2834 3580 4654 5668 7085 9308 11635 14170 19511 23270 28340 39022 46540 78044 97555 195110 253643 390220 507286 1014572 1268215 2536430 3964277 5072860 7928554 15857108 19821385 39642770 51535601 79285540 103071202 206142404 257678005 432106193 515356010 709605583 864212386 1030712020 1419211166 1728424772 2160530965 2838422332 3548027915 4321061930 5617380509 7096055830 8642123860 9224872579 11234761018 14192111660 18449745158 22469522036 28086902545 36899490316 46124362895 56173805090 77347008547 92248725790 112347610180 154694017094 184497451580 309388034188 386735042735 773470085470 1005511111111 1546940170940 2011022222222 4022044444444 5027555555555 10055111111110 20110222222220