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212168 = 23112411
BaseRepresentation
bin110011110011001000
3101210001002
4303303020
523242133
64314132
71542365
oct636310
9353032
10212168
11135450
12a2948
1375758
145746c
1542ce8
hex33cc8

212168 has 16 divisors (see below), whose sum is σ = 434160. Its totient is φ = 96400.

The previous prime is 212167. The next prime is 212183. The reversal of 212168 is 861212.

212168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (212161) 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, 1118 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (27135).

2212168 is an apocalyptic number.

It is an amenable number.

212168 is an abundant number, since it is smaller than the sum of its proper divisors (221992).

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

212168 is a wasteful number, since it uses less digits than its factorization.

212168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 212168 is about 460.6169775421. The cubic root of 212168 is about 59.6430660314.

It can be divided in two parts, 2 and 12168, that multiplied together give a square (24336 = 1562).

The spelling of 212168 in words is "two hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 2411 4822 9644 19288 26521 53042 106084 212168