Search a number
-
+
212222120220220 = 225111831526841071
BaseRepresentation
bin110000010000001111010000…
…000101101101011000111100
31000211102020101110002110110211
4300100033100011231120330
5210304021400234021340
62031205255054442204
762462353656132145
oct6020172005553074
91024366343073424
10212222120220220
1161690994277190
121b97609a803364
1391555c99c2b26
143a598693daacc
1519805b73ad5ea
hexc103d016d63c

212222120220220 has 48 divisors (see below), whose sum is σ = 486447113327616. Its totient is φ = 77129532648000.

The previous prime is 212222120220199. The next prime is 212222120220263. The reversal of 212222120220220 is 22022021222212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212222120220191 and 212222120220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263017716 + ... + 263823355.

It is an arithmetic number, because the mean of its divisors is an integer number (10134314860992).

Almost surely, 2212222120220220 is an apocalyptic number.

212222120220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222120220220 is an abundant number, since it is smaller than the sum of its proper divisors (274224993107396).

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

212222120220220 is a wasteful number, since it uses less digits than its factorization.

212222120220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526842922 (or 526842920 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212222120220220 its reverse (22022021222212), we get a palindrome (234244141442432).

The spelling of 212222120220220 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1831 3662 7324 9155 18310 20141 36620 40282 80564 100705 201410 402820 526841071 1053682142 2107364284 2634205355 5268410710 5795251781 10536821420 11590503562 23181007124 28976258905 57952517810 115905035620 964646001001 1929292002002 3858584004004 4823230005005 9646460010010 10611106011011 19292920020020 21222212022022 42444424044044 53055530055055 106111060110110 212222120220220