Search a number
-
+
216244251160 = 23572293479719
BaseRepresentation
bin1100100101100100101…
…0010110101000011000
3202200011102201010220021
43021121022112220120
512020332012014120
6243201412440224
721423506543560
oct3113112265030
9680142633807
10216244251160
1183788273563
1235aab919074
1317512884202
14a675673da0
155959615aaa
hex3259296a18

216244251160 has 128 divisors (see below), whose sum is σ = 560151936000. Its totient is φ = 73596824064.

The previous prime is 216244251127. The next prime is 216244251187. The reversal of 216244251160 is 61152442612.

It is a super-2 number, since 2×2162442511602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 22244781 + ... + 22254499.

It is an arithmetic number, because the mean of its divisors is an integer number (4376187000).

Almost surely, 2216244251160 is an apocalyptic number.

216244251160 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 216244251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280075968000).

216244251160 is an abundant number, since it is smaller than the sum of its proper divisors (343907684840).

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

216244251160 is a wasteful number, since it uses less digits than its factorization.

216244251160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 216244251160 its reverse (61152442612), we get a palindrome (277396693772).

The spelling of 216244251160 in words is "two hundred sixteen billion, two hundred forty-four million, two hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 347 458 694 916 1145 1388 1603 1735 1832 2290 2429 2776 3206 3470 4580 4858 6412 6940 8015 9160 9716 9719 12145 12824 13880 16030 19432 19438 24290 32060 38876 48580 48595 64120 68033 77752 79463 97160 97190 136066 158926 194380 272132 317852 340165 388760 397315 544264 556241 635704 680330 794630 1112482 1360660 1589260 2224964 2225651 2721320 2781205 3178520 3372493 4449928 4451302 5562410 6744986 8902604 11124820 11128255 13489972 15579557 16862465 17805208 22249640 22256510 23607451 26979944 31159114 33724930 44513020 47214902 62318228 67449860 77897785 89026040 94429804 118037255 124636456 134899720 155795570 188859608 236074510 311591140 472149020 623182280 772300897 944298040 1544601794 3089203588 3861504485 5406106279 6178407176 7723008970 10812212558 15446017940 21624425116 27030531395 30892035880 43248850232 54061062790 108122125580 216244251160