Search a number
-
+
212344002 = 232134122133
BaseRepresentation
bin11001010100000…
…01110011000010
3112210120012012200
430222001303002
5413330002002
633023134030
75155615503
oct1452016302
9483505180
10212344002
11a9954212
125b144316
1334cb9a50
14202b6baa
1513996b1c
hexca81cc2

212344002 has 48 divisors (see below), whose sum is σ = 507576888. Its totient is φ = 63740160.

The previous prime is 212344001. The next prime is 212344081. The reversal of 212344002 is 200443212.

212344002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86657481 + 125686521 = 9309^2 + 11211^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473 + ... + 20660.

Almost surely, 2212344002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212344002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253788444).

212344002 is an abundant number, since it is smaller than the sum of its proper divisors (295232886).

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

212344002 is a wasteful number, since it uses less digits than its factorization.

212344002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195 (or 22192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212344002 is about 14572.0280674997. The cubic root of 212344002 is about 596.5955359099.

Adding to 212344002 its reverse (200443212), we get a palindrome (412787214).

The spelling of 212344002 in words is "two hundred twelve million, three hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 22133 44266 66399 132798 199197 287729 398394 575458 863187 907453 1726374 1814906 2589561 2722359 5179122 5444718 8167077 11796889 16334154 23593778 35390667 70781334 106172001 212344002