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212116 = 22192791
BaseRepresentation
bin110011110010010100
3101202222011
4303302110
523241431
64314004
71542262
oct636224
9352864
10212116
11135403
12a2904
1375718
1457432
1542cb1
hex33c94

212116 has 12 divisors (see below), whose sum is σ = 390880. Its totient is φ = 100440.

The previous prime is 212099. The next prime is 212117. The reversal of 212116 is 611212.

212116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212096 and 212105.

It is a congruent number.

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

212116 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 3 ways as a sum of consecutive naturals, for example, 1320 + ... + 1471.

2212116 is an apocalyptic number.

It is an amenable number.

212116 is a deficient number, since it is larger than the sum of its proper divisors (178764).

212116 is a wasteful number, since it uses less digits than its factorization.

212116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2812 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 212116 is about 460.5605280525. The cubic root of 212116 is about 59.6381930175.

Adding to 212116 its reverse (611212), we get a palindrome (823328).

The spelling of 212116 in words is "two hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 4 19 38 76 2791 5582 11164 53029 106058 212116