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220221101012200 = 235219263220353313
BaseRepresentation
bin110010000100101000111000…
…011111110111010011101000
31001212201221011011122201202221
4302010220320133313103220
5212331100303324342300
62100212102133403424
764246310115050431
oct6204507037672350
91055657134581687
10220221101012200
1164195276407342
12208483a9199574
1395b59b73b3002
143c54a8856c488
151a6d6c9aeb31a
hexc84a387f74e8

220221101012200 has 96 divisors (see below), whose sum is σ = 541011456532800. Its totient is φ = 83134897551360.

The previous prime is 220221101012167. The next prime is 220221101012221. The reversal of 220221101012200 is 2210101122022.

It is a happy number.

220221101012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109177257 + ... + 111176056.

It is an arithmetic number, because the mean of its divisors is an integer number (5635536005550).

Almost surely, 2220221101012200 is an apocalyptic number.

220221101012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221101012200 is an abundant number, since it is smaller than the sum of its proper divisors (320790355520600).

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

220221101012200 is a wasteful number, since it uses less digits than its factorization.

220221101012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220353611 (or 220353602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220221101012200 its reverse (2210101122022), we get a palindrome (222431202134222).

The spelling of 220221101012200 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 263 380 475 526 760 950 1052 1315 1900 2104 2630 3800 4997 5260 6575 9994 10520 13150 19988 24985 26300 39976 49970 52600 99940 124925 199880 249850 499700 999400 220353313 440706626 881413252 1101766565 1762826504 2203533130 4186712947 4407066260 5508832825 8373425894 8814132520 11017665650 16746851788 20933564735 22035331300 33493703576 41867129470 44070662600 57952921319 83734258940 104667823675 115905842638 167468517880 209335647350 231811685276 289764606595 418671294700 463623370552 579529213190 837342589400 1101105505061 1159058426380 1448823032975 2202211010122 2318116852760 2897646065950 4404422020244 5505527525305 5795292131900 8808844040488 11011055050610 11590584263800 22022110101220 27527637626525 44044220202440 55055275253050 110110550506100 220221101012200