Search a number
-
+
212320716 = 22329797723
BaseRepresentation
bin11001010011111…
…00000111001100
3112210112000021020
430221330013030
5413323230331
633022434140
75155460556
oct1451740714
9483460236
10212320716
11a9938773
125b132950
1334cac27a
14202ac4d6
151398ec96
hexca7c1cc

212320716 has 48 divisors (see below), whose sum is σ = 519052800. Its totient is φ = 67459392.

The previous prime is 212320711. The next prime is 212320721. The reversal of 212320716 is 617023212.

212320716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212320711) and next prime (212320721).

It is not an unprimeable number, because it can be changed into a prime (212320711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23631 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (10813600).

Almost surely, 2212320716 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 212320716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259526400).

212320716 is an abundant number, since it is smaller than the sum of its proper divisors (306732084).

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

212320716 is a wasteful number, since it uses less digits than its factorization.

212320716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 212320716 is about 14571.2290490542. The cubic root of 212320716 is about 596.5737272231.

Adding to 212320716 its reverse (617023212), we get a palindrome (829343928).

The spelling of 212320716 in words is "two hundred twelve million, three hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4582 6873 7723 9164 13746 15446 23169 27492 30892 46338 92676 223967 447934 610117 671901 895868 1220234 1343802 1830351 2440468 2687604 3660702 7321404 17693393 35386786 53080179 70773572 106160358 212320716