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221114371984 = 24112106872
BaseRepresentation
bin1100110111101101110…
…0011000111110010000
3210010201211200220201121
43031323130120332100
512110320234400414
6245324544212024
721655264102552
oct3157334307620
9703654626647
10221114371984
1185857331400
1236a2a90a014
1317b0a83a2cc
14a9b83a74d2
155b41e64724
hex337b718f90

221114371984 has 45 divisors (see below), whose sum is σ = 470940014811. Its totient is φ = 100497128160.

The previous prime is 221114371967. The next prime is 221114372009. The reversal of 221114371984 is 489173411122.

The square root of 221114371984 is 470228.

It is a perfect power (a square), and thus also a powerful number.

221114371984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221114371984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20684689 + ... + 20695375.

Almost surely, 2221114371984 is an apocalyptic number.

221114371984 is the 470228-th square number.

It is an amenable number.

221114371984 is an abundant number, since it is smaller than the sum of its proper divisors (249825642827).

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

221114371984 is an frugal number, since it uses more digits than its factorization.

221114371984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21404 (or 10700 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 221114371984 in words is "two hundred twenty-one billion, one hundred fourteen million, three hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 10687 21374 42748 85496 117557 170992 235114 470228 940456 1293127 1880912 2586254 5172508 10345016 20690032 114211969 228423938 456847876 913695752 1256331659 1827391504 2512663318 5025326636 10050653272 13819648249 20101306544 27639296498 55278592996 110557185992 221114371984