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200800 = 2552251
BaseRepresentation
bin110001000001100000
3101012110001
4301001200
522411200
64145344
71464265
oct610140
9335401
10200800
11127956
1298254
1370522
145326c
153e76a
hex31060

200800 has 36 divisors (see below), whose sum is σ = 492156. Its totient is φ = 80000.

The previous prime is 200797. The next prime is 200807. The reversal of 200800 is 8002.

Adding to 200800 its reverse (8002), we get a palindrome (208802).

It can be divided in two parts, 200 and 800, that multiplied together give a 4-th power (160000 = 204).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2200800 is an apocalyptic number.

200800 is a gapful number since it is divisible by the number (20) 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 200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246078).

200800 is an abundant number, since it is smaller than the sum of its proper divisors (291356).

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

200800 is a wasteful number, since it uses less digits than its factorization.

200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200800 is about 448.1071300482. The cubic root of 200800 is about 58.5582248360.

The spelling of 200800 in words is "two hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 251 400 502 800 1004 1255 2008 2510 4016 5020 6275 8032 10040 12550 20080 25100 40160 50200 100400 200800