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220414342040332 = 221119547481999121
BaseRepresentation
bin110010000111011100110110…
…100011111000101100001100
31001220102101221110202001220221
4302013130312203320230030
5212342232033030242312
62100440541215321124
764266260604512206
oct6207346643705414
91056371843661827
10220414342040332
116425a219989980
12208799392201a4
1395caca231a03b
143c6017ab15776
151a737399b7207
hexc877368f8b0c

220414342040332 has 48 divisors (see below), whose sum is σ = 443747671678080. Its totient is φ = 94741747027200.

The previous prime is 220414342040251. The next prime is 220414342040363. The reversal of 220414342040332 is 233040243414022.

220414342040332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2204143420403323 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240542269 + ... + 241456852.

It is an arithmetic number, because the mean of its divisors is an integer number (9244743159960).

Almost surely, 2220414342040332 is an apocalyptic number.

220414342040332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220414342040332 is an abundant number, since it is smaller than the sum of its proper divisors (223333329637748).

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

220414342040332 is a wasteful number, since it uses less digits than its factorization.

220414342040332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481999702 (or 481999700 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 220414342040332 its reverse (233040243414022), we get a palindrome (453454585454354).

The spelling of 220414342040332 in words is "two hundred twenty trillion, four hundred fourteen billion, three hundred forty-two million, forty thousand, three hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 547 836 1094 2188 6017 10393 12034 20786 24068 41572 114323 228646 457292 481999121 963998242 1927996484 5301990331 9157983299 10603980662 18315966598 21207961324 36631933196 100737816289 201475632578 263653519187 402951265156 527307038374 1054614076748 2900188711057 5009416864553 5800377422114 10018833729106 11600754844228 20037667458212 55103585510083 110207171020166 220414342040332