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200222202220020 = 223351103336157621
BaseRepresentation
bin101101100001100111011101…
…001111010100110111110100
3222020221001111112022101021000
4231201213131033110313310
5202220420032232020040
61545500450534123300
760113401552112121
oct5541473517246764
9866831445271230
10200222202220020
115888483940a012
121a5584a24b0530
138794b462b3946
143762b40685748
15182338b789130
hexb619dd3d4df4

200222202220020 has 96 divisors (see below), whose sum is σ = 623478264675840. Its totient is φ = 53344180402560.

The previous prime is 200222202219953. The next prime is 200222202220181. The reversal of 200222202220020 is 20022202222002.

200222202220020 is a `hidden beast` number, since 2 + 0 + 0 + 222 + 202 + 220 + 0 + 20 = 666.

200222202220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 200222202219975 and 200222202220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167483191 + ... + 168674430.

It is an arithmetic number, because the mean of its divisors is an integer number (6494565257040).

Almost surely, 2200222202220020 is an apocalyptic number.

200222202220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200222202220020 is an abundant number, since it is smaller than the sum of its proper divisors (423256062455820).

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

200222202220020 is a wasteful number, since it uses less digits than its factorization.

200222202220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336158742 (or 336158734 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 200222202220020 its reverse (20022202222002), we get a palindrome (220244404442022).

The spelling of 200222202220020 in words is "two hundred trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty 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 1103 2206 3309 4412 5515 6618 9927 11030 13236 16545 19854 22060 29781 33090 39708 49635 59562 66180 99270 119124 148905 198540 297810 595620 336157621 672315242 1008472863 1344630484 1680788105 2016945726 3025418589 3361576210 4033891452 5042364315 6050837178 6723152420 9076255767 10084728630 12101674356 15127092945 18152511534 20169457260 30254185890 36305023068 45381278835 60508371780 90762557670 181525115340 370781855963 741563711926 1112345567889 1483127423852 1853909279815 2224691135778 3337036703667 3707818559630 4449382271556 5561727839445 6674073407334 7415637119260 10011110111001 11123455678890 13348146814668 16685183518335 20022220222002 22246911357780 33370367036670 40044440444004 50055550555005 66740734073340 100111101110010 200222202220020