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2180200 = 235211991
BaseRepresentation
bin1000010100010001101000
311002202200011
420110101220
51024231300
6114421304
724350161
oct10242150
94082604
102180200
11125a020
12891834
135b4479
1440a768
152d0eba
hex214468

2180200 has 48 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 792000.

The previous prime is 2180183. The next prime is 2180219. The reversal of 2180200 is 20812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

22180200 is an apocalyptic number.

2180200 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 2180200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2180200 is an abundant number, since it is smaller than the sum of its proper divisors (3355160).

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

2180200 is a wasteful number, since it uses less digits than its factorization.

2180200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2180200 is about 1476.5500330162. The cubic root of 2180200 is about 129.6677908308.

The spelling of 2180200 in words is "two million, one hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 991 1100 1982 2200 3964 4955 7928 9910 10901 19820 21802 24775 39640 43604 49550 54505 87208 99100 109010 198200 218020 272525 436040 545050 1090100 2180200