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202200200202220 = 2251117210131487609
BaseRepresentation
bin101101111110011001100111…
…000110110100011111101100
3222111221011001121110220211221
4231332121213012310133230
5203000322002222432340
61554013253431353124
760406324312415533
oct5576314706643754
9874834047426757
10202200200202220
1159477694736210
121a817905b227a4
1388a952146a76c
1437d0782dcb31a
151859a57d8a44a
hexb7e6671b47ec

202200200202220 has 144 divisors (see below), whose sum is σ = 496945521848160. Its totient is φ = 68517035008000.

The previous prime is 202200200202211. The next prime is 202200200202277. The reversal of 202200200202220 is 22202002002202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202200200202194 and 202200200202203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9322225 + ... + 22165384.

It is an arithmetic number, because the mean of its divisors is an integer number (3451010568390).

Almost surely, 2202200200202220 is an apocalyptic number.

202200200202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200200202220 is an abundant number, since it is smaller than the sum of its proper divisors (294745321645940).

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

202200200202220 is a wasteful number, since it uses less digits than its factorization.

202200200202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31487764 (or 31487745 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202200200202220 its reverse (22202002002202), we get a palindrome (224402202204422).

The spelling of 202200200202220 in words is "two hundred two trillion, two hundred billion, two hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 289 340 374 404 505 578 748 935 1010 1111 1156 1445 1717 1870 2020 2222 2890 3179 3434 3740 4444 5555 5780 6358 6868 8585 11110 12716 15895 17170 18887 22220 29189 31790 34340 37774 58378 63580 75548 94435 116756 145945 188870 291890 321079 377740 583780 642158 1284316 1605395 3210790 6421580 31487609 62975218 125950436 157438045 314876090 346363699 535289353 629752180 692727398 1070578706 1385454796 1731818495 2141157412 2676446765 3180248509 3463636990 5352893530 5888182883 6360497018 6927273980 9099919001 10705787060 11776365766 12720994036 15901242545 18199838002 23552731532 29440914415 31802485090 34982733599 36399676004 45499595005 54064224653 58881828830 63604970180 69965467198 90999190010 100099109011 108128449306 117763657660 139930934396 174913667995 181998380020 200198218022 216256898612 270321123265 349827335990 400396436044 500495545055 540642246530 594706471183 699654671980 919091819101 1000991090110 1081284493060 1189412942366 1838183638202 2001982180220 2378825884732 2973532355915 3676367276404 4595459095505 5947064711830 9190918191010 10110010010111 11894129423660 18381836382020 20220020020222 40440040040444 50550050050555 101100100101110 202200200202220