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16212 = 2237193
BaseRepresentation
bin11111101010100
3211020110
43331110
51004322
6203020
765160
oct37524
924213
1016212
11111a9
129470
1374c1
145ca0
154c0c
hex3f54

16212 has 24 divisors (see below), whose sum is σ = 43456. Its totient is φ = 4608.

The previous prime is 16193. The next prime is 16217. The reversal of 16212 is 21261.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 180.

216212 is an apocalyptic number.

16212 is a gapful number since it is divisible by the number (12) 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 16212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728).

16212 is an abundant number, since it is smaller than the sum of its proper divisors (27244).

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

16212 is a wasteful number, since it uses less digits than its factorization.

16212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 16212 is about 127.3263523392. The cubic root of 16212 is about 25.3092260664.

Adding to 16212 its reverse (21261), we get a palindrome (37473).

The spelling of 16212 in words is "sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 8106 16212