Search a number
-
+
216285740 = 225111959877
BaseRepresentation
bin11001110010001…
…00001000101100
3120001222110020222
430321010020230
5420332120430
633243430512
75234253446
oct1471041054
9501873228
10216285740
111010a6750
1260525438
1335a69c38
1420a21496
1513ec49e5
hexce4422c

216285740 has 96 divisors (see below), whose sum is σ = 531014400. Its totient is φ = 73163520.

The previous prime is 216285703. The next prime is 216285793. The reversal of 216285740 is 47582612.

It is a self number, because there is not a number n which added to its sum of digits gives 216285740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246182 + ... + 247058.

It is an arithmetic number, because the mean of its divisors is an integer number (5531400).

Almost surely, 2216285740 is an apocalyptic number.

216285740 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 216285740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265507200).

216285740 is an abundant number, since it is smaller than the sum of its proper divisors (314728660).

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

216285740 is a wasteful number, since it uses less digits than its factorization.

216285740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 216285740 is about 14706.6563161039. The cubic root of 216285740 is about 600.2644574940.

The spelling of 216285740 in words is "two hundred sixteen million, two hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 59 76 95 110 118 190 209 220 236 295 380 418 590 649 836 877 1045 1121 1180 1298 1754 2090 2242 2596 3245 3508 4180 4385 4484 5605 6490 8770 9647 11210 12331 12980 16663 17540 19294 22420 24662 33326 38588 48235 49324 51743 61655 66652 83315 96470 103486 123310 166630 183293 192940 206972 246620 258715 333260 366586 517430 569173 733172 916465 983117 1034860 1138346 1832930 1966234 2276692 2845865 3665860 3932468 4915585 5691730 9831170 10814287 11383460 19662340 21628574 43257148 54071435 108142870 216285740