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221114371985 = 51324215211193
BaseRepresentation
bin1100110111101101110…
…0011000111110010001
3210010201211200220201122
43031323130120332101
512110320234400420
6245324544212025
721655264102553
oct3157334307621
9703654626648
10221114371985
1185857331401
1236a2a90a015
1317b0a83a300
14a9b83a74d3
155b41e64725
hex337b718f91

221114371985 has 48 divisors (see below), whose sum is σ = 288794967408. Its totient is φ = 162447667200.

The previous prime is 221114371967. The next prime is 221114372009. The reversal of 221114371985 is 589173411122.

It is a Cunningham number, because it is equal to 4702282+1.

It can be written as a sum of positive squares in 24 ways, for example, as 216947282176 + 4167089809 = 465776^2 + 64553^2 .

It is not a de Polignac number, because 221114371985 - 216 = 221114306449 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185342549 + ... + 185343741.

It is an arithmetic number, because the mean of its divisors is an integer number (6016561821).

Almost surely, 2221114371985 is an apocalyptic number.

It is an amenable number.

221114371985 is a deficient number, since it is larger than the sum of its proper divisors (67680595423).

221114371985 is a wasteful number, since it uses less digits than its factorization.

221114371985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2153 counting only the distinct ones).

The product of its digits is 120960, while the sum is 44.

The spelling of 221114371985 in words is "two hundred twenty-one billion, one hundred fourteen million, three hundred seventy-one thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 169 421 521 845 1193 2105 2605 5473 5965 6773 15509 27365 33865 71149 77545 88049 201617 219341 355745 440245 502253 621553 1008085 1096705 2511265 2851433 3107765 6529289 8080189 14257165 32646445 37068629 40400945 84880757 105042457 185343145 261673813 424403785 525212285 1308369065 3401759569 17008797845 44222874397 221114371985