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4221434220 = 223517712821
BaseRepresentation
bin1111101110011101…
…1111100101101100
3101220012101002002120
43323213133211230
532121141343340
61534515552540
7206416412253
oct37347374554
911805332076
104221434220
111876987013
129998bb750
13523771b93
142c091579a
1519a9154d0
hexfb9df96c

4221434220 has 144 divisors (see below), whose sum is σ = 12709527264. Its totient is φ = 1043302400.

The previous prime is 4221434219. The next prime is 4221434311. The reversal of 4221434220 is 224341224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5141410 + ... + 5142230.

It is an arithmetic number, because the mean of its divisors is an integer number (88260606).

Almost surely, 24221434220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354763632).

4221434220 is an abundant number, since it is smaller than the sum of its proper divisors (8488093044).

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

4221434220 is a wasteful number, since it uses less digits than its factorization.

4221434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4221434220 is about 64972.5651332930. The cubic root of 4221434220 is about 1616.1686397832.

Adding to 4221434220 its reverse (224341224), we get a palindrome (4445775444).

The spelling of 4221434220 in words is "four billion, two hundred twenty-one million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 821 852 1020 1065 1207 1420 1642 2130 2414 2463 3284 3621 4105 4260 4828 4926 5041 6035 7242 8210 9852 10082 12070 12315 13957 14484 15123 16420 18105 20164 24140 24630 25205 27914 30246 36210 41871 49260 50410 55828 58291 60492 69785 72420 75615 83742 85697 100820 116582 139570 151230 167484 171394 174873 209355 233164 257091 279140 291455 302460 342788 349746 418710 428485 514182 582910 699492 837420 856970 874365 990947 1028364 1165820 1285455 1713940 1748730 1981894 2570910 2972841 3497460 3963788 4138661 4954735 5141820 5945682 8277322 9909470 11891364 12415983 14864205 16554644 19818940 20693305 24831966 29728410 41386610 49663932 59456820 62079915 70357237 82773220 124159830 140714474 211071711 248319660 281428948 351786185 422143422 703572370 844286844 1055358555 1407144740 2110717110 4221434220