Search a number
-
+
18400200 = 23352713337
BaseRepresentation
bin100011000110…
…0001111001000
31021121211022220
41012030033020
514202301300
61454214040
7312253620
oct106141710
937554286
1018400200
11a428385
1261b4320
133a731c0
14262d880
151936da0
hex118c3c8

18400200 has 192 divisors, whose sum is σ = 70412160. Its totient is φ = 3870720.

The previous prime is 18400177. The next prime is 18400237. The reversal of 18400200 is 200481.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 18400200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54432 + ... + 54768.

It is an arithmetic number, because the mean of its divisors is an integer number (366730).

Almost surely, 218400200 is an apocalyptic number.

18400200 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 18400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206080).

18400200 is an abundant number, since it is smaller than the sum of its proper divisors (52011960).

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

18400200 is a wasteful number, since it uses less digits than its factorization.

18400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 18400200 is about 4289.5454304623. The cubic root of 18400200 is about 264.0021808819.

Adding to 18400200 its reverse (200481), we get a palindrome (18600681).

The spelling of 18400200 in words is "eighteen million, four hundred thousand, two hundred".