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22112210100220 = 22523311509930313
BaseRepresentation
bin1010000011100011001100…
…11011011001111111111100
32220021220110221102001112121
411001301212123121333330
510344241301241201340
6115010113055012324
74441361115444202
oct501614633317774
986256427361477
1022112210100220
117055810156a39
1225915b250a0a4
13c45231ba19c6
1456634563b072
152852c8ec094a
hex141c666d9ffc

22112210100220 has 96 divisors (see below), whose sum is σ = 48621521894400. Its totient is φ = 8431188226560.

The previous prime is 22112210100203. The next prime is 22112210100221. The reversal of 22112210100220 is 2200101221122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22112210100194 and 22112210100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112210100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729447784 + ... + 729478096.

It is an arithmetic number, because the mean of its divisors is an integer number (506474186400).

Almost surely, 222112210100220 is an apocalyptic number.

22112210100220 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 22112210100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310760947200).

22112210100220 is an abundant number, since it is smaller than the sum of its proper divisors (26509311794180).

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

22112210100220 is a wasteful number, since it uses less digits than its factorization.

22112210100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35755 (or 35753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112210100220 its reverse (2200101221122), we get a palindrome (24312311321342).

The spelling of 22112210100220 in words is "twenty-two trillion, one hundred twelve billion, two hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 311 460 622 1244 1555 3110 5099 6220 7153 10198 14306 20396 25495 28612 30313 35765 50990 60626 71530 101980 117277 121252 143060 151565 234554 303130 469108 586385 606260 697199 1172770 1394398 1585789 2345540 2788796 3171578 3485995 6343156 6971990 7928945 9427343 13943980 15857890 18854686 31715780 36473147 37709372 47136715 72946294 94273430 145892588 154565987 182365735 188546860 216828889 309131974 364731470 433657778 618263948 729462940 772829935 867315556 1084144445 1545659870 2168288890 3091319740 3555017701 4336577780 7110035402 14220070804 17775088505 35550177010 48070021957 71100354020 96140043914 192280087828 240350109785 480700219570 961400439140 1105610505011 2211221010022 4422442020044 5528052525055 11056105050110 22112210100220