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664286220 = 22325131716699
BaseRepresentation
bin100111100110000…
…011010000001100
31201021222020101100
4213212003100030
52330024124340
6145525543100
722314224343
oct4746032014
91637866340
10664286220
11310a77084
12166574a90
13a7816790
146431cb5a
153d4ba830
hex2798340c

664286220 has 144 divisors (see below), whose sum is σ = 2297786400. Its totient is φ = 153888768.

The previous prime is 664286219. The next prime is 664286261. The reversal of 664286220 is 22682466.

664286220 is a `hidden beast` number, since 6 + 6 + 4 + 28 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31431 + ... + 48129.

It is an arithmetic number, because the mean of its divisors is an integer number (15956850).

Almost surely, 2664286220 is an apocalyptic number.

664286220 is a gapful number since it is divisible by the number (60) 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 664286220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148893200).

664286220 is an abundant number, since it is smaller than the sum of its proper divisors (1633500180).

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

664286220 is a wasteful number, since it uses less digits than its factorization.

664286220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 664286220 is about 25773.7506001746. The cubic root of 664286220 is about 872.5394688812.

The spelling of 664286220 in words is "six hundred sixty-four million, two hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 16699 19890 33398 39780 50097 66796 83495 100194 150291 166990 200388 217087 250485 283883 300582 333980 434174 500970 567766 601164 651261 751455 851649 868348 1001940 1085435 1135532 1302522 1419415 1502910 1703298 1953783 2170870 2554947 2605044 2838830 3005820 3256305 3406596 3690479 3907566 4258245 4341740 5109894 5677660 6512610 7380958 7815132 8516490 9768915 10219788 11071437 12774735 13025220 14761916 17032980 18452395 19537830 22142874 25549470 33214311 36904790 39075660 44285748 51098940 55357185 66428622 73809580 110714370 132857244 166071555 221428740 332143110 664286220