Search a number
-
+
212423112 = 233211268211
BaseRepresentation
bin11001010100101…
…01000111001000
3112210201012201200
430222111013020
5413340014422
633024544200
75156365236
oct1452250710
9483635650
10212423112
11a99a86a0
125b182060
1335016a65
14202d7956
15139b02ac
hexca951c8

212423112 has 48 divisors (see below), whose sum is σ = 627616080. Its totient is φ = 64370400.

The previous prime is 212423089. The next prime is 212423117. The reversal of 212423112 is 211324212.

It is a happy number.

212423112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (212423117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133314 + ... + 134897.

It is an arithmetic number, because the mean of its divisors is an integer number (13075335).

Almost surely, 2212423112 is an apocalyptic number.

212423112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212423112 is an abundant number, since it is smaller than the sum of its proper divisors (415192968).

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

212423112 is a wasteful number, since it uses less digits than its factorization.

212423112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268234 (or 268227 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212423112 is about 14574.7422618721. The cubic root of 212423112 is about 596.6696150966.

Adding to 212423112 its reverse (211324212), we get a palindrome (423747324).

It can be divided in two parts, 212 and 423112, that added together give a palindrome (423324).

The spelling of 212423112 in words is "two hundred twelve million, four hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 268211 536422 804633 1072844 1609266 2145688 2413899 2950321 3218532 4827798 5900642 6437064 8850963 9655596 11801284 17701926 19311192 23602568 26552889 35403852 53105778 70807704 106211556 212423112