Search a number
-
+
123322212 = 2232131012609
BaseRepresentation
bin1110101100110…
…11111101100100
322121001102021100
413112123331210
5223032302322
620123120100
73025135656
oct726337544
9277042240
10123322212
1163680892
1235373030
131c71b130
14125426d6
15ac5edac
hex759bf64

123322212 has 72 divisors (see below), whose sum is σ = 339164280. Its totient is φ = 37555200.

The previous prime is 123322187. The next prime is 123322231. The reversal of 123322212 is 212223321.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 96943716 = 5136^2 + 9846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45964 + ... + 48572.

It is an arithmetic number, because the mean of its divisors is an integer number (4710615).

Almost surely, 2123322212 is an apocalyptic number.

123322212 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 123322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169582140).

123322212 is an abundant number, since it is smaller than the sum of its proper divisors (215842068).

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

123322212 is a wasteful number, since it uses less digits than its factorization.

123322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2728 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 123322212 is about 11105.0534442658. The cubic root of 123322212 is about 497.7528652336.

Adding to 123322212 its reverse (212223321), we get a palindrome (335545533).

The spelling of 123322212 in words is "one hundred twenty-three million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2609 2626 3636 3939 5218 5252 7827 7878 10436 11817 15654 15756 23481 23634 31308 33917 46962 47268 67834 93924 101751 135668 203502 263509 305253 407004 527018 610506 790527 1054036 1221012 1581054 2371581 3162108 3425617 4743162 6851234 9486324 10276851 13702468 20553702 30830553 41107404 61661106 123322212