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2202002110220 = 22511431109321247
BaseRepresentation
bin100000000010110001100…
…011011011011100001100
321210111202022110021100212
4200002301203123130030
5242034200020011340
64403330311141552
7315042444053063
oct40026143333414
97714668407325
102202002110220
11779955870030
122b691a0748b8
1312c8565b9243
14788128191da
153c42c0cea65
hex200b18db70c

2202002110220 has 96 divisors (see below), whose sum is σ = 5061155291136. Its totient is φ = 798101740800.

The previous prime is 2202002110219. The next prime is 2202002110223. The reversal of 2202002110220 is 220112002022.

It is a junction number, because it is equal to n+sod(n) for n = 2202002110195 and 2202002110204.

It is not an unprimeable number, because it can be changed into a prime (2202002110223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103627637 + ... + 103648883.

It is an arithmetic number, because the mean of its divisors is an integer number (52720367616).

Almost surely, 22202002110220 is an apocalyptic number.

2202002110220 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 2202002110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530577645568).

2202002110220 is an abundant number, since it is smaller than the sum of its proper divisors (2859153180916).

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

2202002110220 is a wasteful number, since it uses less digits than its factorization.

2202002110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22791 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202002110220 its reverse (220112002022), we get a palindrome (2422114112242).

The spelling of 2202002110220 in words is "two trillion, two hundred two billion, two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1093 1724 2155 2186 4310 4372 4741 5465 8620 9482 10930 12023 18964 21247 21860 23705 24046 42494 47410 48092 60115 84988 94820 106235 120230 212470 233717 240460 424940 467434 471083 934868 942166 1168585 1884332 2337170 2355415 4674340 4710830 5181913 9157457 9421660 10363826 18314914 20727652 23222971 25909565 36629828 45787285 46445942 51819130 91574570 92891884 100732027 103638260 116114855 183149140 201464054 232229710 255452681 402928108 464459420 503660135 510905362 1007320270 1021810724 1277263405 2014640540 2554526810 5109053620 10009100501 20018201002 40036402004 50045502505 100091005010 110100105511 200182010020 220200211022 440400422044 550500527555 1101001055110 2202002110220