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220414323340220 = 22537539076196193
BaseRepresentation
bin110010000111011100110101…
…011100100011001110111100
31001220102101220011120000012012
4302013130311130203032330
5212342232013233341340
62100440535310430352
764266260256536012
oct6207346534431674
91056371804500165
10220414323340220
116425a20a377239
1220879932b023b8
1395cac9b4a0499
143c601784488b2
151a73738021565
hexc877357233bc

220414323340220 has 96 divisors (see below), whose sum is σ = 484883607595968. Its totient is φ = 84071519281152.

The previous prime is 220414323340193. The next prime is 220414323340231. The reversal of 220414323340220 is 22043323414022.

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, 32474444 + ... + 38670636.

It is an arithmetic number, because the mean of its divisors is an integer number (5050870912458).

Almost surely, 2220414323340220 is an apocalyptic number.

220414323340220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220414323340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242441803797984).

220414323340220 is an abundant number, since it is smaller than the sum of its proper divisors (264469284255748).

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

220414323340220 is a wasteful number, since it uses less digits than its factorization.

220414323340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197199 (or 6197197 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 220414323340220 its reverse (22043323414022), we get a palindrome (242457646754242).

The spelling of 220414323340220 in words is "two hundred twenty trillion, four hundred fourteen billion, three hundred twenty-three million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 185 212 265 370 530 740 907 1060 1814 1961 3628 3922 4535 7844 9070 9805 18140 19610 33559 39220 48071 67118 96142 134236 167795 192284 240355 335590 480710 671180 961420 1778627 3557254 6196193 7114508 8893135 12392386 17786270 24784772 30980965 35572540 61961930 123923860 229259141 328398229 458518282 656796458 917036564 1146295705 1313592916 1641991145 2292591410 3283982290 4585182820 5619947051 6567964580 11239894102 12150734473 22479788204 24301468946 28099735255 48602937892 56199470510 60753672365 112398941020 121507344730 207938040887 243014689460 297857193703 415876081774 595714387406 831752163548 1039690204435 1191428774812 1489285968515 2079380408870 2978571937030 4158760817740 5957143874060 11020716167011 22041432334022 44082864668044 55103580835055 110207161670110 220414323340220