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220212221100 = 2235219367105269
BaseRepresentation
bin1100110100010110101…
…0111101010010101100
3210001101222010220100220
43031011222331102230
512101443312033400
6245055240051340
721624030665214
oct3150552752254
9701358126326
10220212221100
1185434070063
1236818763b50
13179c596c911
14a93064b244
155adcb607a0
hex3345abd4ac

220212221100 has 144 divisors (see below), whose sum is σ = 672515289600. Its totient is φ = 55480446720.

The previous prime is 220212221077. The next prime is 220212221149. The reversal of 220212221100 is 1122212022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220212221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039266 + ... + 2144534.

Almost surely, 2220212221100 is an apocalyptic number.

220212221100 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 220212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336257644800).

220212221100 is an abundant number, since it is smaller than the sum of its proper divisors (452303068500).

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

220212221100 is a wasteful number, since it uses less digits than its factorization.

220212221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105672 (or 105665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220212221100 its reverse (1122212022), we get a palindrome (221334433122).

It can be divided in two parts, 2202122 and 21100, that added together give a palindrome (2223222).

The spelling of 220212221100 in words is "two hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 367 380 475 570 734 950 1101 1140 1425 1468 1835 1900 2202 2850 3670 4404 5505 5700 6973 7340 9175 11010 13946 18350 20919 22020 27525 27892 34865 36700 41838 55050 69730 83676 104595 105269 110100 139460 174325 209190 210538 315807 348650 418380 421076 522975 526345 631614 697300 1045950 1052690 1263228 1579035 2000111 2091900 2105380 2631725 3158070 4000222 5263450 6000333 6316140 7895175 8000444 10000555 10526900 12000666 15790350 20001110 24001332 30001665 31580700 38633723 40002220 50002775 60003330 77267446 100005550 115901169 120006660 150008325 154534892 193168615 200011100 231802338 300016650 386337230 463604676 579505845 600033300 734040737 772674460 965843075 1159011690 1468081474 1931686150 2202122211 2318023380 2897529225 2936162948 3670203685 3863372300 4404244422 5795058450 7340407370 8808488844 11010611055 11590116900 14680814740 18351018425 22021222110 36702036850 44042444220 55053055275 73404073700 110106110550 220212221100