Search a number
-
+
212320314 = 232231074793
BaseRepresentation
bin11001010011111…
…00000000111010
3112210111222201100
430221330000322
5413323222224
633022432230
75155456443
oct1451740072
9483458640
10212320314
11a9938438
125b132676
1334cac02b
14202ac2ca
151398eac9
hexca7c03a

212320314 has 48 divisors (see below), whose sum is σ = 484615872. Its totient is φ = 67049664.

The previous prime is 212320301. The next prime is 212320331. The reversal of 212320314 is 413023212.

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

It is an unprimeable number.

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, 41902 + ... + 46694.

It is an arithmetic number, because the mean of its divisors is an integer number (10096164).

Almost surely, 2212320314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212320314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242307936).

212320314 is an abundant number, since it is smaller than the sum of its proper divisors (272295558).

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

212320314 is a wasteful number, since it uses less digits than its factorization.

212320314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4928 counting only the distinct ones).

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

The square root of 212320314 is about 14571.2152547411. The cubic root of 212320314 is about 596.5733507128.

Adding to 212320314 its reverse (413023212), we get a palindrome (625343526).

The spelling of 212320314 in words is "two hundred twelve million, three hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 107 138 207 214 321 414 642 963 1926 2461 4793 4922 7383 9586 14379 14766 22149 28758 43137 44298 86274 110239 220478 330717 512851 661434 992151 1025702 1538553 1984302 3077106 4615659 9231318 11795573 23591146 35386719 70773438 106160157 212320314