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220100220 = 223351972069
BaseRepresentation
bin11010001111001…
…11011001111100
3120100011020202000
431013213121330
5422321201340
633501302300
75311551414
oct1507473174
9510136660
10220100220
1110327160a
1261864990
13367a4222
1421335644
15144c9d30
hexd1e767c

220100220 has 96 divisors (see below), whose sum is σ = 688564800. Its totient is φ = 58367232.

The previous prime is 220100171. The next prime is 220100291. The reversal of 220100220 is 22001022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105346 + ... + 107414.

It is an arithmetic number, because the mean of its divisors is an integer number (7172550).

Almost surely, 2220100220 is an apocalyptic number.

220100220 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 220100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344282400).

220100220 is an abundant number, since it is smaller than the sum of its proper divisors (468464580).

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

220100220 is a wasteful number, since it uses less digits than its factorization.

220100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220100220 is about 14835.7750050343. The cubic root of 220100220 is about 603.7727278200.

Adding to 220100220 its reverse (22001022), we get a palindrome (242101242).

It can be divided in two parts, 2201002 and 20, that added together give a palindrome (2201022).

The spelling of 220100220 in words is "two hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2069 2364 2955 3546 3940 4138 5319 5910 6207 7092 8276 8865 10345 10638 11820 12414 17730 18621 20690 21276 24828 26595 31035 35460 37242 41380 53190 55863 62070 74484 93105 106380 111726 124140 186210 223452 279315 372420 407593 558630 815186 1117260 1222779 1630372 2037965 2445558 3668337 4075930 4891116 6113895 7336674 8151860 11005011 12227790 14673348 18341685 22010022 24455580 36683370 44020044 55025055 73366740 110050110 220100220