Search a number
-
+
212016 = 2437631
BaseRepresentation
bin110011110000110000
3101202211110
4303300300
523241031
64313320
71542060
oct636060
9352743
10212016
11135322
12a2840
137566c
14573a0
1542c46
hex33c30

212016 has 40 divisors (see below), whose sum is σ = 626944. Its totient is φ = 60480.

The previous prime is 211997. The next prime is 212029. The reversal of 212016 is 610212.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 211992 and 212010.

It is a congruent number.

It is an unprimeable number.

212016 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, 21 + ... + 651.

2212016 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 212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313472).

212016 is an abundant number, since it is smaller than the sum of its proper divisors (414928).

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

212016 is a wasteful number, since it uses less digits than its factorization.

212016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

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

The square root of 212016 is about 460.4519518907. The cubic root of 212016 is about 59.6288195981.

Adding to 212016 its reverse (610212), we get a palindrome (822228).

The spelling of 212016 in words is "two hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 631 1262 1893 2524 3786 4417 5048 7572 8834 10096 13251 15144 17668 26502 30288 35336 53004 70672 106008 212016