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221200201122200 = 23521727352424563
BaseRepresentation
bin110010010010111000101111…
…011010011000000110011000
31002000012112101100020201222222
4302102320233122120012120
5212443121002441402300
62102241545231003212
764410121122502526
oct6222705732300630
91060175340221888
10221200201122200
1164532529946573
12209860b7969508
139657121718621
143c8a20ada1316
151a88dd15dc785
hexc92e2f698198

221200201122200 has 144 divisors (see below), whose sum is σ = 553806278902680. Its totient is φ = 82134609776640.

The previous prime is 221200201122137. The next prime is 221200201122221. The reversal of 221200201122200 is 2221102002122.

It is a happy number.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21992882 + ... + 30431681.

Almost surely, 2221200201122200 is an apocalyptic number.

221200201122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200201122200 is an abundant number, since it is smaller than the sum of its proper divisors (332606077780480).

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

221200201122200 is a wasteful number, since it uses less digits than its factorization.

221200201122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52424686 (or 52424660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221200201122200 its reverse (2221102002122), we get a palindrome (223421303124322).

The spelling of 221200201122200 in words is "two hundred twenty-one trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 136 146 170 200 289 292 340 365 425 578 584 680 730 850 1156 1241 1445 1460 1700 1825 2312 2482 2890 2920 3400 3650 4964 5780 6205 7225 7300 9928 11560 12410 14450 14600 21097 24820 28900 31025 42194 49640 57800 62050 84388 105485 124100 168776 210970 248200 421940 527425 843880 1054850 2109700 4219400 52424563 104849126 209698252 262122815 419396504 524245630 891217571 1048491260 1310614075 1782435142 2096982520 2621228150 3564870284 3826993099 4456087855 5242456300 7129740568 7653986198 8912175710 10484912600 15150698707 15307972396 17824351420 19134965495 22280439275 30301397414 30615944792 35648702840 38269930990 44560878550 60602794828 65058882683 75753493535 76539861980 89121757100 95674827475 121205589656 130117765366 151506987070 153079723960 178243514200 191349654950 260235530732 303013974140 325294413415 378767467675 382699309900 520471061464 606027948280 650588826830 757534935350 765398619800 1106001005611 1301177653660 1515069870700 1626472067075 2212002011222 2602355307320 3030139741400 3252944134150 4424004022444 5530005028055 6505888268300 8848008044888 11060010056110 13011776536600 22120020112220 27650025140275 44240040224440 55300050280550 110600100561100 221200201122200