Search a number
-
+
212422056 = 233721116421
BaseRepresentation
bin11001010100101…
…00110110101000
3112210201011021120
430222110312220
5413340001211
633024535240
75156362200
oct1452246650
9483634246
10212422056
11a99a7920
125b181520
1335016432
14202d7400
15139aed06
hexca94da8

212422056 has 96 divisors (see below), whose sum is σ = 673958880. Its totient is φ = 55171200.

The previous prime is 212422051. The next prime is 212422057. The reversal of 212422056 is 650224212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212422051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4726 + ... + 21146.

It is an arithmetic number, because the mean of its divisors is an integer number (7020405).

Almost surely, 2212422056 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 212422056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336979440).

212422056 is an abundant number, since it is smaller than the sum of its proper divisors (461536824).

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

212422056 is a wasteful number, since it uses less digits than its factorization.

212422056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16455 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 212422056 is about 14574.7060347713. The cubic root of 212422056 is about 596.6686263716.

Adding to 212422056 its reverse (650224212), we get a palindrome (862646268).

The spelling of 212422056 in words is "two hundred twelve million, four hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 16421 32842 49263 65684 98526 114947 131368 180631 197052 229894 344841 361262 394104 459788 541893 689682 722524 804629 919576 1083786 1264417 1379364 1445048 1609258 2167572 2413887 2528834 2758728 3218516 3793251 4335144 4827774 5057668 6437032 7586502 8850919 9655548 10115336 15173004 17701838 19311096 26552757 30346008 35403676 53105514 70807352 106211028 212422056