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18228200 = 235291141
BaseRepresentation
bin100010110001…
…0001111101000
31021022002101112
41011202033220
514131300300
61450405452
7310636304
oct105421750
937262345
1018228200
11a320131
126130888
133a12b23
1425c6d04
151900e35
hex11623e8

18228200 has 24 divisors (see below), whose sum is σ = 42381030. Its totient is φ = 7291200.

The previous prime is 18228191. The next prime is 18228209. The reversal of 18228200 is 282281.

It is an interprime number because it is at equal distance from previous prime (18228191) and next prime (18228209).

It can be written as a sum of positive squares in 3 ways, for example, as 9572836 + 8655364 = 3094^2 + 2942^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18228209) 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 5 ways as a sum of consecutive naturals, for example, 45371 + ... + 45770.

Almost surely, 218228200 is an apocalyptic number.

18228200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18228200 is an abundant number, since it is smaller than the sum of its proper divisors (24152830).

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

18228200 is a wasteful number, since it uses less digits than its factorization.

18228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91157 (or 91148 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 18228200 is about 4269.4496132406. The cubic root of 18228200 is about 263.1769977711.

It can be divided in two parts, 182 and 28200, that added together give a palindrome (28382).

The spelling of 18228200 in words is "eighteen million, two hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 91141 182282 364564 455705 729128 911410 1822820 2278525 3645640 4557050 9114100 18228200