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221020090065624 = 233232973133188791
BaseRepresentation
bin110010010000010000111111…
…111101001110001011011000
31001222120022111002112001202210
4302100100333331032023120
5212432143121024044444
62102023121101555120
764361113605000363
oct6220207775161330
91058508432461683
10221020090065624
11644731039509a3
1220957210b75aa0
139643149a8bb35
143c816025370da
151a8438e2987b9
hexc9043ff4e2d8

221020090065624 has 128 divisors (see below), whose sum is σ = 596467330329600. Its totient is φ = 68038876899840.

The previous prime is 221020090065563. The next prime is 221020090065631. The reversal of 221020090065624 is 426560090020122.

221020090065624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1170618669 + ... + 1170807459.

It is an arithmetic number, because the mean of its divisors is an integer number (4659901018200).

Almost surely, 2221020090065624 is an apocalyptic number.

221020090065624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221020090065624 is an abundant number, since it is smaller than the sum of its proper divisors (375447240263976).

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

221020090065624 is a wasteful number, since it uses less digits than its factorization.

221020090065624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261985 (or 261981 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 221020090065624 in words is "two hundred twenty-one trillion, twenty billion, ninety million, sixty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 73133 146266 188791 219399 292532 377582 438798 566373 585064 755164 877596 1132746 1510328 1682059 1755192 2120857 2265492 3364118 4241714 4342193 4530984 5046177 5474939 6362571 6728236 8483428 8684386 10092354 10949878 12725142 13026579 13456472 16424817 16966856 17368772 20184708 21899756 25450284 26053158 32849634 34737544 40369416 43799512 48779711 50900568 52106316 65699268 97559422 104212632 125923597 131398536 146339133 195118844 251847194 292678266 377770791 390237688 503694388 585356532 755541582 1007388776 1170713064 1511083164 3022166328 13806852203 27613704406 41420556609 55227408812 82841113218 110454817624 165682226436 317557600669 331364452872 400398713887 635115201338 800797427774 952672802007 1201196141661 1270230402676 1601594855548 1905345604014 2402392283322 2540460805352 3203189711096 3810691208028 4804784566644 7621382416056 9209170419401 9609569133288 18418340838802 27627511258203 36836681677604 55255022516406 73673363355208 110510045032812 221020090065624