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200200 = 235271113
BaseRepresentation
bin110000111000001000
3101011121211
4300320020
522401300
64142504
71462450
oct607010
9334554
10200200
11127460
1297a34
1370180
1452d60
153e4ba
hex30e08

200200 has 96 divisors (see below), whose sum is σ = 624960. Its totient is φ = 57600.

The previous prime is 200191. The next prime is 200201. The reversal of 200200 is 2002.

200200 = T55 + T56 + ... + T110.

It is a Harshad number since it is a multiple of its sum of digits (4).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200200.

It is not an unprimeable number, because it can be changed into a prime (200201) by changing a digit.

200200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15394 + ... + 15406.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2200200 is an apocalyptic number.

200200 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 200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

200200 is an abundant number, since it is smaller than the sum of its proper divisors (424760).

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

200200 is a wasteful number, since it uses less digits than its factorization.

200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 200200 is about 447.4371464239. The cubic root of 200200 is about 58.4998417216.

Adding to 200200 its reverse (2002), we get a palindrome (202202).

Multiplying 200200 by its reverse (2002), we get a square (400800400 = 200202).

200200 divided by its reverse (2002) gives a square (100 = 102).

It can be divided in two parts, 200 and 200, that added together give a square (400 = 202).

The spelling of 200200 in words is "two hundred thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 35 40 44 50 52 55 56 65 70 77 88 91 100 104 110 130 140 143 154 175 182 200 220 260 275 280 286 308 325 350 364 385 440 455 520 550 572 616 650 700 715 728 770 910 1001 1100 1144 1300 1400 1430 1540 1820 1925 2002 2200 2275 2600 2860 3080 3575 3640 3850 4004 4550 5005 5720 7150 7700 8008 9100 10010 14300 15400 18200 20020 25025 28600 40040 50050 100100 200200