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22102202221020 = 2233579335159461
BaseRepresentation
bin1010000011010000100011…
…11010011000000111011100
32220020221122110211010012000
411001220101322120013130
510344110302232033040
6115001340031242300
74440555114044625
oct501502172300734
986227573733160
1022102202221020
117051544a50199
12258b67a979390
13c442c86860ac
14565a76426a4c
15284de05a8130
hex141a11e981dc

22102202221020 has 96 divisors (see below), whose sum is σ = 68771088133440. Its totient is φ = 5893176487680.

The previous prime is 22102202220977. The next prime is 22102202221037. The reversal of 22102202221020 is 2012220220122.

22102202221020 is a `hidden beast` number, since 2 + 210 + 220 + 2 + 2 + 210 + 20 = 666.

It is a super-2 number, since 2×221022022210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102202220984 and 22102202221002.

It is a congruent 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, 1704090 + ... + 6863550.

It is an arithmetic number, because the mean of its divisors is an integer number (716365501390).

Almost surely, 222102202221020 is an apocalyptic number.

22102202221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102202221020 is an abundant number, since it is smaller than the sum of its proper divisors (46668885912420).

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

22102202221020 is a wasteful number, since it uses less digits than its factorization.

22102202221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167412 (or 5167404 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22102202221020 its reverse (2012220220122), we get a palindrome (24114422441142).

The spelling of 22102202221020 in words is "twenty-two trillion, one hundred two billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 7933 15866 23799 31732 39665 47598 71397 79330 95196 118995 142794 158660 214191 237990 285588 356985 428382 475980 713970 856764 1070955 1427940 2141910 4283820 5159461 10318922 15478383 20637844 25797305 30956766 46435149 51594610 61913532 77391915 92870298 103189220 139305447 154783830 185740596 232175745 278610894 309567660 464351490 557221788 696527235 928702980 1393054470 2786108940 40930004113 81860008226 122790012339 163720016452 204650020565 245580024678 368370037017 409300041130 491160049356 613950061695 736740074034 818600082260 1105110111051 1227900123390 1473480148068 1841850185085 2210220222102 2455800246780 3683700370170 4420440444204 5525550555255 7367400740340 11051101110510 22102202221020