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212208 = 2434421
BaseRepresentation
bin110011110011110000
3101210002120
4303303300
523242313
64314240
71542453
oct636360
9353076
10212208
11135487
12a2980
1375789
145749a
1542d23
hex33cf0

212208 has 20 divisors (see below), whose sum is σ = 548328. Its totient is φ = 70720.

The previous prime is 212207. The next prime is 212209. The reversal of 212208 is 802212.

It is an interprime number because it is at equal distance from previous prime (212207) and next prime (212209).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212208.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2163 + ... + 2258.

2212208 is an apocalyptic number.

It is an amenable number.

212208 is an abundant number, since it is smaller than the sum of its proper divisors (336120).

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

212208 is a wasteful number, since it uses less digits than its factorization.

212208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212208 is about 460.6603955193. The cubic root of 212208 is about 59.6468139619.

The spelling of 212208 in words is "two hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 4421 8842 13263 17684 26526 35368 53052 70736 106104 212208