Search a number
-
+
12202212 = 2231197953
BaseRepresentation
bin101110100011…
…000011100100
3211221221021210
4232203003210
511110432322
61113311420
7205500651
oct56430344
924857253
1012202212
116984780
124105570
1326b3059
141898c28
15111070c
hexba30e4

12202212 has 48 divisors (see below), whose sum is σ = 31413312. Its totient is φ = 3655680.

The previous prime is 12202207. The next prime is 12202217. The reversal of 12202212 is 21220221.

It is an interprime number because it is at equal distance from previous prime (12202207) and next prime (12202217).

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

It is not an unprimeable number, because it can be changed into a prime (12202217) by changing a digit.

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, 12328 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (654444).

Almost surely, 212202212 is an apocalyptic number.

12202212 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 12202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706656).

12202212 is an abundant number, since it is smaller than the sum of its proper divisors (19211100).

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

12202212 is a wasteful number, since it uses less digits than its factorization.

12202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12202212 is about 3493.1664718418. The cubic root of 12202212 is about 230.2216640579.

Adding to 12202212 its reverse (21220221), we get a palindrome (33422433).

Subtracting 12202212 from its reverse (21220221), we obtain a square (9018009 = 30032).

It can be divided in two parts, 1220221 and 2, that multiplied together give a palindrome (2440442).

The spelling of 12202212 in words is "twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 953 1067 1164 1906 2134 2859 3201 3812 4268 5718 6402 10483 11436 12804 20966 31449 41932 62898 92441 125796 184882 277323 369764 554646 1016851 1109292 2033702 3050553 4067404 6101106 12202212