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4016336220 = 22325134141863
BaseRepresentation
bin1110111101100100…
…0110110101011100
3101100220110000112100
43233121012311130
531211140224340
61502312005100
7201346203021
oct35731066534
911326400470
104016336220
111781131936
12941090790
134c0121310
142a15a7548
15187900830
hexef646d5c

4016336220 has 144 divisors (see below), whose sum is σ = 13440353472. Its totient is φ = 964500480.

The previous prime is 4016336209. The next prime is 4016336227. The reversal of 4016336220 is 226336104.

4016336220 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 33 + 622 + 0 = 666.

It is a super-2 number, since 2×40163362202 = 32261913264167776800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016336227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75009 + ... + 116871.

It is an arithmetic number, because the mean of its divisors is an integer number (93335788).

Almost surely, 24016336220 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 4016336220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720176736).

4016336220 is an abundant number, since it is smaller than the sum of its proper divisors (9424017252).

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

4016336220 is a wasteful number, since it uses less digits than its factorization.

4016336220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41932 (or 41927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4016336220 is about 63374.5707677772. The cubic root of 4016336220 is about 1589.5591277968.

The spelling of 4016336220 in words is "four billion, sixteen million, three hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3690 4797 5330 6396 7380 7995 9594 10660 15990 19188 23985 31980 41863 47970 83726 95940 125589 167452 209315 251178 376767 418630 502356 544219 627945 753534 837260 1088438 1255890 1507068 1632657 1716383 1883835 2176876 2511780 2721095 3265314 3432766 3767670 4897971 5149149 5442190 6530628 6865532 7535340 8163285 8581915 9795942 10298298 10884380 15447447 16326570 17163830 19591884 20596596 22312979 24489855 25745745 30894894 32653140 34327660 44625958 48979710 51491490 61789788 66938937 77237235 89251916 97959420 102982980 111564895 133877874 154474470 200816811 223129790 267755748 308948940 334694685 401633622 446259580 669389370 803267244 1004084055 1338778740 2008168110 4016336220