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2220022220 = 2251331674111
BaseRepresentation
bin1000010001010010…
…1101100111001100
312201201100210222012
42010110231213030
514021311202340
61004142440352
7106004606663
oct20424554714
95651323865
102220022220
11a3a165609
1251b5930b8
13294c21c20
14170baddda
15ced74565
hex8452d9cc

2220022220 has 96 divisors (see below), whose sum is σ = 5261254656. Its totient is φ = 781228800.

The previous prime is 2220022201. The next prime is 2220022243. The reversal of 2220022220 is 222200222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2220022195 and 2220022204.

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, 537965 + ... + 542075.

It is an arithmetic number, because the mean of its divisors is an integer number (54804736).

Almost surely, 22220022220 is an apocalyptic number.

2220022220 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 2220022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630627328).

2220022220 is an abundant number, since it is smaller than the sum of its proper divisors (3041232436).

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

2220022220 is a wasteful number, since it uses less digits than its factorization.

2220022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2220022220 is about 47117.1117535869. Note that the first 3 decimals coincide. The cubic root of 2220022220 is about 1304.5251023259.

Adding to 2220022220 its reverse (222200222), we get a palindrome (2442222442).

The spelling of 2220022220 in words is "two billion, two hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 67 124 130 134 155 260 268 310 335 403 620 670 806 871 1340 1612 1742 2015 2077 3484 4030 4111 4154 4355 8060 8222 8308 8710 10385 16444 17420 20555 20770 27001 41110 41540 53443 54002 82220 106886 108004 127441 135005 213772 254882 267215 270010 275437 509764 534430 540020 550874 637205 1068860 1101748 1274410 1377185 1656733 2548820 2754370 3313466 3580681 5508740 6626932 7161362 8283665 8538547 14322724 16567330 17077094 17903405 33134660 34154188 35806810 42692735 71613620 85385470 111001111 170770940 222002222 444004444 555005555 1110011110 2220022220