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18314208 = 2533114147
BaseRepresentation
bin100010111011…
…1001111100000
31021110110101000
41011313033200
514142023313
61452312000
7311445123
oct105671740
937413330
1018314208
11a379810
126172600
133a43013
14260a3ba
15191b673
hex11773e0

18314208 has 192 divisors, whose sum is σ = 60963840. Its totient is φ = 5299200.

The previous prime is 18314201. The next prime is 18314209. The reversal of 18314208 is 80241381.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18314201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389641 + ... + 389687.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 218314208 is an apocalyptic number.

18314208 is a gapful number since it is divisible by the number (18) 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 18314208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

18314208 is an abundant number, since it is smaller than the sum of its proper divisors (42649632).

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

18314208 is a wasteful number, since it uses less digits than its factorization.

18314208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18314208 is about 4279.5102523536. The cubic root of 18314208 is about 263.5902735268.

Adding to 18314208 its reverse (80241381), we get a palindrome (98555589).

The spelling of 18314208 in words is "eighteen million, three hundred fourteen thousand, two hundred eight".