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222022120020020 = 22517821795379093
BaseRepresentation
bin110010011110110110001101…
…100110001001100000110100
31002010010002220021122212011222
4302132312031212021200310
5213100102300211120040
62104111315345245512
764523366052036665
oct6236661546114064
91063102807585158
10222022120020020
116481a063712651
1220a9945a933898
1396b679978c008
143cb7cdc3d536c
151aa0488d3cbb5
hexc9ed8d989834

222022120020020 has 48 divisors (see below), whose sum is σ = 494274021142608. Its totient is φ = 83482989496320.

The previous prime is 222022120020017. The next prime is 222022120020091. The reversal of 222022120020020 is 20020021220222.

It can be written as a sum of positive squares in 8 ways, for example, as 34631318286244 + 187390801733776 = 5884838^2 + 13689076^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397410407 + ... + 397968686.

It is an arithmetic number, because the mean of its divisors is an integer number (10297375440471).

Almost surely, 2222022120020020 is an apocalyptic number.

222022120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022120020020 is an abundant number, since it is smaller than the sum of its proper divisors (272251901122588).

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

222022120020020 is a wasteful number, since it uses less digits than its factorization.

222022120020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795379940 (or 795379938 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 222022120020020 its reverse (20020021220222), we get a palindrome (242042141240242).

The spelling of 222022120020020 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 821 1642 3284 4105 8210 13957 16420 27914 55828 69785 139570 279140 795379093 1590758186 3181516372 3976895465 7953790930 13521444581 15907581860 27042889162 54085778324 67607222905 135214445810 270428891620 653006235353 1306012470706 2612024941412 3265031176765 6530062353530 11101106001001 13060124707060 22202212002002 44404424004004 55505530005005 111011060010010 222022120020020