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2205050120 = 2357134712889
BaseRepresentation
bin1000001101101110…
…0110010100001000
312200200012011002222
42003123212110020
514003443100440
61002445513212
7105433421360
oct20333462410
95620164088
102205050120
11a31769879
12516572808
13291aac1b0
1416cbd39a0
15cd8b82b5
hex836e6508

2205050120 has 128 divisors (see below), whose sum is σ = 6236697600. Its totient is φ = 682960896.

The previous prime is 2205050101. The next prime is 2205050147. The reversal of 2205050120 is 210505022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164636 + ... + 177524.

It is an arithmetic number, because the mean of its divisors is an integer number (48724200).

Almost surely, 22205050120 is an apocalyptic number.

2205050120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118348800).

2205050120 is an abundant number, since it is smaller than the sum of its proper divisors (4031647480).

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

2205050120 is a wasteful number, since it uses less digits than its factorization.

2205050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2205050120 is about 46957.9611993536. The cubic root of 2205050120 is about 1301.5858595079.

Adding to 2205050120 its reverse (210505022), we get a palindrome (2415555142).

The spelling of 2205050120 in words is "two billion, two hundred five million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 47 52 56 65 70 91 94 104 130 140 182 188 235 260 280 329 364 376 455 470 520 611 658 728 910 940 1222 1316 1645 1820 1880 2444 2632 3055 3290 3640 4277 4888 6110 6580 8554 12220 12889 13160 17108 21385 24440 25778 34216 42770 51556 64445 85540 90223 103112 128890 167557 171080 180446 257780 335114 360892 451115 515560 605783 670228 721784 837785 902230 1172899 1211566 1340456 1675570 1804460 2345798 2423132 3028915 3351140 3608920 4240481 4691596 4846264 5864495 6057830 6702280 7875179 8480962 9383192 11728990 12115660 15750358 16961924 21202405 23457980 24231320 31500716 33923848 39375895 42404810 46915960 55126253 63001432 78751790 84809620 110252506 157503580 169619240 220505012 275631265 315007160 441010024 551262530 1102525060 2205050120