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212300 = 225211193
BaseRepresentation
bin110011110101001100
3101210012222
4303311030
523243200
64314512
71542644
oct636514
9353188
10212300
11135560
12a2a38
137582a
1457524
1542d85
hex33d4c

212300 has 36 divisors (see below), whose sum is σ = 505176. Its totient is φ = 76800.

The previous prime is 212297. The next prime is 212353. The reversal of 212300 is 3212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004 + ... + 1196.

2212300 is an apocalyptic number.

212300 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 212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252588).

212300 is an abundant number, since it is smaller than the sum of its proper divisors (292876).

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

212300 is a wasteful number, since it uses less digits than its factorization.

212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 212300 is about 460.7602413403. The cubic root of 212300 is about 59.6554324150.

Adding to 212300 its reverse (3212), we get a palindrome (215512).

It can be divided in two parts, 212 and 300, that added together give a 9-th power (512 = 29).

The spelling of 212300 in words is "two hundred twelve thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1100 1930 2123 3860 4246 4825 8492 9650 10615 19300 21230 42460 53075 106150 212300