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18190224 = 2433134179
BaseRepresentation
bin100010101100…
…0111110010000
31021020011022000
41011120332100
514124041344
61445514000
7310420503
oct105307620
937204260
1018190224
11a2a4648
126112900
1339cb760
1425b713a
1518e4a69
hex1158f90

18190224 has 160 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 5391360.

The previous prime is 18190223. The next prime is 18190241. The reversal of 18190224 is 42209181.

It is a Cunningham number, because it is equal to 42652-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18190223) by changing a digit.

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, 230217 + ... + 230295.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 218190224 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 18190224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

18190224 is an abundant number, since it is smaller than the sum of its proper divisors (40139376).

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

18190224 is a wasteful number, since it uses less digits than its factorization.

18190224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18190224 is about 4264.9998827667. Note that the first 3 decimals coincide. The cubic root of 18190224 is about 262.9941060908.

The spelling of 18190224 in words is "eighteen million, one hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 79 82 104 108 117 123 144 156 158 164 208 216 234 237 246 312 316 328 351 369 432 468 474 492 533 624 632 656 702 711 738 936 948 984 1027 1066 1107 1264 1404 1422 1476 1599 1872 1896 1968 2054 2132 2133 2214 2808 2844 2952 3081 3198 3239 3792 4108 4264 4266 4428 4797 5616 5688 5904 6162 6396 6478 8216 8528 8532 8856 9243 9594 9717 11376 12324 12792 12956 14391 16432 17064 17712 18486 19188 19434 24648 25584 25912 27729 28782 29151 34128 36972 38376 38868 42107 49296 51824 55458 57564 58302 73944 76752 77736 84214 87453 110916 115128 116604 126321 147888 155472 168428 174906 221832 230256 233208 252642 336856 349812 378963 443664 466416 505284 673712 699624 757926 1010568 1136889 1399248 1515852 2021136 2273778 3031704 4547556 6063408 9095112 18190224