Search a number
-
+
18822168 = 23321971327
BaseRepresentation
bin100011111001…
…1010000011000
31022102021011100
41013303100120
514304302133
61511231400
7315662061
oct107632030
938367140
1018822168
11a696412
126378560
133b902a1
1426dd568
1519bbe13
hex11f3418

18822168 has 48 divisors (see below), whose sum is σ = 51274080. Its totient is φ = 6237504.

The previous prime is 18822163. The next prime is 18822173. The reversal of 18822168 is 86122881.

It is an interprime number because it is at equal distance from previous prime (18822163) and next prime (18822173).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (12288) is a multiple of the sum of its prime factors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18822161) 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 11 ways as a sum of consecutive naturals, for example, 13521 + ... + 14847.

It is an arithmetic number, because the mean of its divisors is an integer number (1068210).

Almost surely, 218822168 is an apocalyptic number.

18822168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18822168 is an abundant number, since it is smaller than the sum of its proper divisors (32451912).

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

18822168 is a wasteful number, since it uses less digits than its factorization.

18822168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1529 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 18822168 is about 4338.4522585825. The cubic root of 18822168 is about 266.0050501237.

The spelling of 18822168 in words is "eighteen million, eight hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1327 1576 1773 2364 2654 3546 3981 4728 5308 7092 7962 10616 11943 14184 15924 23886 31848 47772 95544 261419 522838 784257 1045676 1568514 2091352 2352771 3137028 4705542 6274056 9411084 18822168