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4221310020 = 2235379719603
BaseRepresentation
bin1111101110011100…
…0001010001000100
3101220012010202201120
43323213001101010
532121123410040
61534513153540
7206415354204
oct37347012104
911805122646
104221310020
111876901774
1299985b8b0
1352372a4a5
142c08c2404
1519a8dd7d0
hexfb9c1444

4221310020 has 96 divisors (see below), whose sum is σ = 12264889728. Its totient is φ = 1083912192.

The previous prime is 4221310013. The next prime is 4221310033. The reversal of 4221310020 is 200131224.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 205539 + ... + 225141.

It is an arithmetic number, because the mean of its divisors is an integer number (127759268).

Almost surely, 24221310020 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 4221310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132444864).

4221310020 is an abundant number, since it is smaller than the sum of its proper divisors (8043579708).

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

4221310020 is a wasteful number, since it uses less digits than its factorization.

4221310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19749 (or 19747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4221310020 is about 64971.6093382333. The cubic root of 4221310020 is about 1616.1527897108.

Adding to 4221310020 its reverse (200131224), we get a palindrome (4421441244).

The spelling of 4221310020 in words is "four billion, two hundred twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 97 111 148 185 194 222 291 370 388 444 485 555 582 740 970 1110 1164 1455 1940 2220 2910 3589 5820 7178 10767 14356 17945 19603 21534 35890 39206 43068 53835 58809 71780 78412 98015 107670 117618 196030 215340 235236 294045 392060 588090 725311 1176180 1450622 1901491 2175933 2901244 3626555 3802982 4351866 5704473 7253110 7605964 8703732 9507455 10879665 11408946 14506220 19014910 21759330 22817892 28522365 38029820 43518660 57044730 70355167 114089460 140710334 211065501 281420668 351775835 422131002 703551670 844262004 1055327505 1407103340 2110655010 4221310020