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212200 = 23521061
BaseRepresentation
bin110011110011101000
3101210002021
4303303220
523242300
64314224
71542442
oct636350
9353067
10212200
1113547a
12a2974
1375781
1457492
1542d1a
hex33ce8

212200 has 24 divisors (see below), whose sum is σ = 493830. Its totient is φ = 84800.

The previous prime is 212183. The next prime is 212203. The reversal of 212200 is 2212.

Adding to 212200 its reverse (2212), we get a palindrome (214412).

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 171396 + 40804 = 414^2 + 202^2 .

It is not an unprimeable number, because it can be changed into a prime (212203) by changing a digit.

212200 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 5 ways as a sum of consecutive naturals, for example, 331 + ... + 730.

2212200 is an apocalyptic number.

212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200 is an abundant number, since it is smaller than the sum of its proper divisors (281630).

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

212200 is a wasteful number, since it uses less digits than its factorization.

212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 212200 is about 460.6517122512. The cubic root of 212200 is about 59.6460644135.

The spelling of 212200 in words is "two hundred twelve thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1061 2122 4244 5305 8488 10610 21220 26525 42440 53050 106100 212200