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220110220 = 2251117229257
BaseRepresentation
bin11010001111010…
…01110110001100
3120100011202110101
431013221312030
5422322011340
633501420444
75311622521
oct1507516614
9510152411
10220110220
11103279080
126186a724
13367a8945
1421339148
15144ccc9a
hexd1e9d8c

220110220 has 96 divisors (see below), whose sum is σ = 538332480. Its totient is φ = 74711040.

The previous prime is 220110173. The next prime is 220110221. The reversal of 220110220 is 22011022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220110197 and 220110206.

It is not an unprimeable number, because it can be changed into a prime (220110221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856332 + ... + 856588.

It is an arithmetic number, because the mean of its divisors is an integer number (5607630).

Almost surely, 2220110220 is an apocalyptic number.

220110220 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 220110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269166240).

220110220 is an abundant number, since it is smaller than the sum of its proper divisors (318222260).

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

220110220 is a wasteful number, since it uses less digits than its factorization.

220110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220110220 is about 14836.1120243816. The cubic root of 220110220 is about 603.7818715877.

220110220 divided by its sum of digits (10) gives a palindrome (22011022).

Adding to 220110220 its reverse (22011022), we get a palindrome (242121242).

It can be divided in two parts, 2201 and 10220, that added together give a palindrome (12421).

The spelling of 220110220 in words is "two hundred twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 229 257 340 374 458 514 748 916 935 1028 1145 1285 1870 2290 2519 2570 2827 3740 3893 4369 4580 5038 5140 5654 7786 8738 10076 11308 12595 14135 15572 17476 19465 21845 25190 28270 38930 42823 43690 48059 50380 56540 58853 77860 85646 87380 96118 117706 171292 192236 214115 235412 240295 294265 428230 480590 588530 647383 856460 961180 1000501 1177060 1294766 2001002 2589532 3236915 4002004 5002505 6473830 10005010 11005511 12947660 20010020 22011022 44022044 55027555 110055110 220110220