Search a number
-
+
212212 = 227111353
BaseRepresentation
bin110011110011110100
3101210002201
4303303310
523242322
64314244
71542460
oct636364
9353081
10212212
11135490
12a2984
1375790
14574a0
1542d27
hex33cf4

212212 has 48 divisors (see below), whose sum is σ = 508032. Its totient is φ = 74880.

The previous prime is 212209. The next prime is 212227.

It can be divided in two parts, 212 and 212, that added together give a palindrome (424).

212212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978 + ... + 4030.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2212212 is an apocalyptic number.

212212 is a gapful number since it is divisible by the number (22) 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 212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

212212 is an abundant number, since it is smaller than the sum of its proper divisors (295820).

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

212212 is a wasteful number, since it uses less digits than its factorization.

212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 212212 is about 460.6647370920. The cubic root of 212212 is about 59.6471887290.

The spelling of 212212 in words is "two hundred twelve thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 143 154 182 212 286 308 364 371 572 583 689 742 1001 1166 1378 1484 2002 2332 2756 4004 4081 4823 7579 8162 9646 15158 16324 19292 30316 53053 106106 212212