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202212 = 223241137
BaseRepresentation
bin110001010111100100
3101021101100
4301113210
522432322
64200100
71501353
oct612744
9337340
10202212
11128a1a
1299030
137106a
145399a
153edac
hex315e4

202212 has 36 divisors (see below), whose sum is σ = 527436. Its totient is φ = 65280.

The previous prime is 202201. The next prime is 202219. The reversal of 202212 is 212202.

Adding to 202212 its reverse (212202), we get a palindrome (414414).

It can be divided in two parts, 202 and 212, that multiplied together give a palindrome (42824).

202212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 147456 = 234^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 202194 and 202203.

It is not an unprimeable number, because it can be changed into a prime (202219) by changing a digit.

202212 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 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (14651).

2202212 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 202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263718).

202212 is an abundant number, since it is smaller than the sum of its proper divisors (325224).

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

202212 is a wasteful number, since it uses less digits than its factorization.

202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202212 is about 449.6798861412. The cubic root of 202212 is about 58.6951623505.

The spelling of 202212 in words is "two hundred two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 137 164 246 274 369 411 492 548 738 822 1233 1476 1644 2466 4932 5617 11234 16851 22468 33702 50553 67404 101106 202212