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2110220220 = 2235318313669
BaseRepresentation
bin111110111000111…
…0110011110111100
312110001202021221110
41331301312132330
513310204021340
6545221202020
7103202401353
oct17561663674
95401667843
102110220220
11993189759
124aa860310
13278258a24
1416038a99a
15c53d5680
hex7dc767bc

2110220220 has 96 divisors (see below), whose sum is σ = 6173153280. Its totient is φ = 537972480.

The previous prime is 2110220219. The next prime is 2110220239. The reversal of 2110220220 is 220220112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2110220196 and 2110220205.

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, 147546 + ... + 161214.

It is an arithmetic number, because the mean of its divisors is an integer number (64303680).

Almost surely, 22110220220 is an apocalyptic number.

2110220220 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 2110220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086576640).

2110220220 is an abundant number, since it is smaller than the sum of its proper divisors (4062933060).

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

2110220220 is a wasteful number, since it uses less digits than its factorization.

2110220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2110220220 is about 45937.1333454755. The cubic root of 2110220220 is about 1282.6532326439.

Adding to 2110220220 its reverse (220220112), we get a palindrome (2330440332).

The spelling of 2110220220 in words is "two billion, one hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 124 155 166 186 249 310 332 372 415 465 498 620 830 930 996 1245 1660 1860 2490 2573 4980 5146 7719 10292 12865 13669 15438 25730 27338 30876 38595 41007 51460 54676 68345 77190 82014 136690 154380 164028 205035 273380 410070 423739 820140 847478 1134527 1271217 1694956 2118695 2269054 2542434 3403581 4237390 4538108 5084868 5672635 6356085 6807162 8474780 11345270 12712170 13614324 17017905 22690540 25424340 34035810 35170337 68071620 70340674 105511011 140681348 175851685 211022022 351703370 422044044 527555055 703406740 1055110110 2110220220