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55850000220 = 223257106141777
BaseRepresentation
bin110100000000111010…
…110101111101011100
312100011021121222021200
4310000322311331130
51403340100001340
641353535155500
74015005111660
oct640072657534
9170137558250
1055850000220
112175a961883
12a9a8075b90
135360a39a11
1429bb6548a0
1516bd24d330
hexd00eb5f5c

55850000220 has 144 divisors (see below), whose sum is σ = 193800454848. Its totient is φ = 12753377280.

The previous prime is 55850000209. The next prime is 55850000249. The reversal of 55850000220 is 2200005855.

55850000220 is a nontrivial binomial coefficient, being equal to C(334216, 2).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1315972 + ... + 1357748.

It is an arithmetic number, because the mean of its divisors is an integer number (1345836492).

Almost surely, 255850000220 is an apocalyptic number.

55850000220 is the 334215-th triangular number and also the 167108-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55850000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96900227424).

55850000220 is an abundant number, since it is smaller than the sum of its proper divisors (137950454628).

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

55850000220 is a wasteful number, since it uses less digits than its factorization.

55850000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42860 (or 42855 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 55850000220 in words is "fifty-five billion, eight hundred fifty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1061 1260 2122 3183 4244 5305 6366 7427 9549 10610 12732 14854 15915 19098 21220 22281 29708 31830 37135 38196 41777 44562 47745 63660 66843 74270 83554 89124 95490 111405 125331 133686 148540 167108 190980 208885 222810 250662 267372 292439 334215 375993 417770 445620 501324 584878 626655 668430 751986 835540 877317 1169756 1253310 1336860 1462195 1503972 1754634 1879965 2506620 2631951 2924390 3509268 3759930 4386585 5263902 5848780 7519860 8773170 10527804 13159755 17546340 26319510 44325397 52639020 88650794 132976191 177301588 221626985 265952382 310277779 398928573 443253970 531904764 620555558 664880955 797857146 886507940 930833337 1241111116 1329761910 1551388895 1595714292 1861666674 1994642865 2659523820 2792500011 3102777790 3723333348 3989285730 4654166685 5585000022 6205555580 7978571460 9308333370 11170000044 13962500055 18616666740 27925000110 55850000220