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222010102122020 = 225232393036766499
BaseRepresentation
bin110010011110101011000001…
…010001100000011000100100
31002010001221212201212101101122
4302132223001101200120210
5213044403142120401040
62104102011040113112
764522462202430332
oct6236530121403044
91063057781771348
10222010102122020
1164814a56946a43
1220a97066005798
1396b56029cba74
143cb74bc278b52
151a9eed3c341b5
hexc9eac1460624

222010102122020 has 96 divisors (see below), whose sum is σ = 488550666240000. Its totient is φ = 84583528089984.

The previous prime is 222010102122013. The next prime is 222010102122023. The reversal of 222010102122020 is 20221201010222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222010102122020.

It is not an unprimeable number, because it can be changed into a prime (222010102122023) by changing a digit.

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, 3338514731 + ... + 3338581229.

It is an arithmetic number, because the mean of its divisors is an integer number (5089069440000).

Almost surely, 2222010102122020 is an apocalyptic number.

222010102122020 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 222010102122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244275333120000).

222010102122020 is an abundant number, since it is smaller than the sum of its proper divisors (266540564117980).

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

222010102122020 is a wasteful number, since it uses less digits than its factorization.

222010102122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97137 (or 97135 counting only the distinct ones).

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

Adding to 222010102122020 its reverse (20221201010222), we get a palindrome (242231303132242).

The spelling of 222010102122020 in words is "two hundred twenty-two trillion, ten billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 239 460 478 956 1195 2390 4780 5497 10994 21988 27485 30367 54970 60734 66499 109940 121468 132998 151835 265996 303670 332495 607340 664990 698441 1329980 1396882 1529477 2793764 3058954 3492205 6117908 6984410 7257713 7647385 13968820 14515426 15294770 15893261 29030852 30589540 31786522 36288565 63573044 72577130 79466305 145154260 158932610 166927399 317865220 333854798 365545003 667709596 731090006 834636995 1462180012 1669273990 1827725015 2019375133 3338547980 3655450030 4038750266 7310900060 8077500532 10096875665 20193751330 40387502660 46445628059 92891256118 185782512236 232228140295 464456280590 482630656787 928912561180 965261313574 1930522627148 2413153283935 4826306567870 9652613135740 11100505106101 22201010212202 44402020424404 55502525530505 111005051061010 222010102122020