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22112200102220 = 22519592003492397
BaseRepresentation
bin1010000011100011001011…
…10101010001000101001100
32220021220110020121002212022
411001301211311101011030
510344241241211232340
6115010112100425312
74441360634453414
oct501614565210514
986256406532768
1022112200102220
117055805548328
1225915ab0a8238
13c4522cab1027
14566344197644
152852c81983b5
hex141c65d5114c

22112200102220 has 96 divisors (see below), whose sum is σ = 49732985836800. Its totient is φ = 8233207766784.

The previous prime is 22112200102219. The next prime is 22112200102253. The reversal of 22112200102220 is 2220100221122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44661062 + ... + 45153458.

It is an arithmetic number, because the mean of its divisors is an integer number (518051935800).

Almost surely, 222112200102220 is an apocalyptic number.

22112200102220 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 22112200102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866492918400).

22112200102220 is an abundant number, since it is smaller than the sum of its proper divisors (27620785734580).

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

22112200102220 is a wasteful number, since it uses less digits than its factorization.

22112200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494487 (or 494485 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22112200102220 its reverse (2220100221122), we get a palindrome (24332300323342).

The spelling of 22112200102220 in words is "twenty-two trillion, one hundred twelve billion, two hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2003 2242 4006 4484 5605 8012 10015 11210 20030 22420 38057 40060 76114 118177 152228 190285 236354 380570 472708 492397 590885 761140 984794 1181770 1969588 2245363 2363540 2461985 4490726 4923970 8981452 9355543 9847940 11226815 18711086 22453630 29051423 37422172 44907260 46777715 58102846 93555430 116205692 145257115 187110860 290514230 551977037 581028460 986271191 1103954074 1972542382 2207908148 2759885185 3945084764 4931355955 5519770370 9862711910 11039540740 18739152629 19725423820 37478305258 58190000269 74956610516 93695763145 116380000538 187391526290 232760001076 290950001345 374783052580 581900002690 1105610005111 1163800005380 2211220010222 4422440020444 5528050025555 11056100051110 22112200102220