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2220022212100 = 22527111979145687
BaseRepresentation
bin100000010011100011101…
…000101010011000000100
321212020021011110021222121
4200103203220222120010
5242333101141241400
64415510352335324
7316251135310210
oct40234350523004
97766234407877
102220022212100
11786562732310
122ba308b44544
13131468a37414
1479641b99940
153cb3410921a
hex204e3a2a604

2220022212100 has 144 divisors (see below), whose sum is σ = 6009245383680. Its totient is φ = 691600579200.

The previous prime is 2220022212053. The next prime is 2220022212101. The reversal of 2220022212100 is 12122200222.

It is not an unprimeable number, because it can be changed into a prime (2220022212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15165457 + ... + 15311143.

It is an arithmetic number, because the mean of its divisors is an integer number (41730870720).

Almost surely, 22220022212100 is an apocalyptic number.

2220022212100 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 2220022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004622691840).

2220022212100 is an abundant number, since it is smaller than the sum of its proper divisors (3789223171580).

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

2220022212100 is a wasteful number, since it uses less digits than its factorization.

2220022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147698 (or 147691 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2220022212100 its reverse (12122200222), we get a palindrome (2232144412322).

The spelling of 2220022212100 in words is "two trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 1979 3850 3958 7700 7916 9895 13853 19790 21769 27706 39580 43538 49475 55412 69265 87076 98950 108845 138530 145687 152383 197900 217690 277060 291374 304766 346325 435380 544225 582748 609532 692650 728435 761915 1019809 1088450 1385300 1456870 1523830 1602557 2039618 2176900 2913740 3047660 3205114 3642175 3809575 4079236 5099045 6410228 7284350 7619150 8012785 10198090 11217899 14568700 15238300 16025570 20396180 22435798 25495225 32051140 40063925 44871596 50990450 56089495 80127850 101980900 112178990 160255700 224357980 280447475 288314573 560894950 576629146 1121789900 1153258292 1441572865 2018202011 2883145730 3171460303 4036404022 5766291460 6342920606 7207864325 8072808044 10091010055 12685841212 14415728650 15857301515 20182020110 22200222121 28831457300 31714603030 40364040220 44400444242 50455050275 63429206060 79286507575 88800888484 100910100550 111001110605 158573015150 201820201100 222002221210 317146030300 444004442420 555005553025 1110011106050 2220022212100