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220441360050 = 23252221332
BaseRepresentation
bin1100110101001101010…
…1000011011010110010
3210001222221022100220200
43031103111003122302
512102430442010200
6245134103220030
721632512433622
oct3152325033262
9701887270820
10220441360050
118554144559a
1236881447616
1317a31289cb2
14a952c56882
155b02d23800
hex33535436b2

220441360050 has 54 divisors (see below), whose sum is σ = 592279214007. Its totient is φ = 58781706720.

The previous prime is 220441360043. The next prime is 220441360081. The reversal of 220441360050 is 50063144022.

220441360050 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 4 + 1 + 3 + 600 + 50 = 666.

220441360050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 76081637241 + 144359722809 = 275829^2 + 379947^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331995.

It is a junction number, because it is equal to n+sod(n) for n = 220441359996 and 220441360023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9948784 + ... + 9970916.

Almost surely, 2220441360050 is an apocalyptic number.

220441360050 is an abundant number, since it is smaller than the sum of its proper divisors (371837853957).

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

220441360050 is an frugal number, since it uses more digits than its factorization.

220441360050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44284 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 220441360050 in words is "two hundred twenty billion, four hundred forty-one million, three hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 22133 44266 66399 110665 132798 199197 221330 331995 398394 553325 663990 995985 1106650 1659975 1991970 3319950 4979925 9959850 489869689 979739378 1469609067 2449348445 2939218134 4408827201 4898696890 7348045335 8817654402 12246742225 14696090670 22044136005 24493484450 36740226675 44088272010 73480453350 110220680025 220441360050