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18228288 = 2631367109
BaseRepresentation
bin100010110001…
…0010001000000
31021022002111210
41011202101000
514131301123
61450410120
7310636461
oct105422100
937262453
1018228288
11a320201
126130940
133a12b90
1425c6d68
151900e93
hex1162440

18228288 has 112 divisors (see below), whose sum is σ = 53197760. Its totient is φ = 5474304.

The previous prime is 18228281. The next prime is 18228293. The reversal of 18228288 is 88282281.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18228281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167178 + ... + 167286.

It is an arithmetic number, because the mean of its divisors is an integer number (474980).

Almost surely, 218228288 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 18228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598880).

18228288 is an abundant number, since it is smaller than the sum of its proper divisors (34969472).

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

18228288 is a wasteful number, since it uses less digits than its factorization.

18228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 18228288 is about 4269.4599190061. The cubic root of 18228288 is about 263.1774212823.

The spelling of 18228288 in words is "eighteen million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 109 134 156 192 201 208 218 268 312 327 402 416 436 536 624 654 804 832 871 872 1072 1248 1308 1417 1608 1742 1744 2144 2496 2613 2616 2834 3216 3484 3488 4251 4288 5226 5232 5668 6432 6968 6976 7303 8502 10452 10464 11336 12864 13936 14606 17004 20904 20928 21909 22672 27872 29212 34008 41808 43818 45344 55744 58424 68016 83616 87636 90688 94939 116848 136032 167232 175272 189878 233696 272064 284817 350544 379756 467392 569634 701088 759512 1139268 1402176 1519024 2278536 3038048 4557072 6076096 9114144 18228288