Search a number
-
+
18290220 = 223513131179
BaseRepresentation
bin100010111000…
…1011000101100
31021102020110120
41011301120230
514140241340
61452004540
7311315154
oct105613054
937366416
1018290220
11a362793
126160750
133a35120
142601764
1519144d0
hex117162c

18290220 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 4442880.

The previous prime is 18290219. The next prime is 18290243. The reversal of 18290220 is 2209281.

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, 102091 + ... + 102269.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 218290220 is an apocalyptic number.

18290220 is a gapful number since it is divisible by the number (10) 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 18290220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

18290220 is an abundant number, since it is smaller than the sum of its proper divisors (37593300).

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

18290220 is a wasteful number, since it uses less digits than its factorization.

18290220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18290220 is about 4276.7066768718. The cubic root of 18290220 is about 263.4751394895.

The spelling of 18290220 in words is "eighteen million, two hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 179 195 260 262 358 390 393 524 537 655 716 780 786 895 1074 1310 1572 1703 1790 1965 2148 2327 2620 2685 3406 3580 3930 4654 5109 5370 6812 6981 7860 8515 9308 10218 10740 11635 13962 17030 20436 23270 23449 25545 27924 34060 34905 46540 46898 51090 69810 70347 93796 102180 117245 139620 140694 234490 281388 304837 351735 468980 609674 703470 914511 1219348 1406940 1524185 1829022 3048370 3658044 4572555 6096740 9145110 18290220