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212112 = 2433491
BaseRepresentation
bin110011110010010000
3101202222000
4303302100
523241422
64314000
71542255
oct636220
9352860
10212112
111353aa
12a2900
1375714
145742c
1542cac
hex33c90

212112 has 40 divisors (see below), whose sum is σ = 610080. Its totient is φ = 70560.

The previous prime is 212099. The next prime is 212117. The reversal of 212112 is 211212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212094 and 212103.

It is not an unprimeable number, because it can be changed into a prime (212117) by changing a digit.

212112 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 7 ways as a sum of consecutive naturals, for example, 187 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (15252).

2212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305040).

212112 is an abundant number, since it is smaller than the sum of its proper divisors (397968).

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

212112 is a wasteful number, since it uses less digits than its factorization.

212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 212112 is about 460.5561854975. The cubic root of 212112 is about 59.6378181373.

Adding to 212112 its reverse (211212), we get a palindrome (423324).

Subtracting from 212112 its reverse (211212), we obtain a square (900 = 302).

It can be divided in two parts, 2121 and 12, that multiplied together give a palindrome (25452).

The spelling of 212112 in words is "two hundred twelve thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 13257 17676 23568 26514 35352 53028 70704 106056 212112