Search a number
-
+
212321322 = 23211795629
BaseRepresentation
bin11001010011111…
…00010000101010
3112210112001002200
430221330100222
5413323240242
633022441030
75155462413
oct1451742052
9483461080
10212321322
11a9939174
125b133176
1334cac625
14202ac80a
151399004c
hexca7c42a

212321322 has 12 divisors (see below), whose sum is σ = 460029570. Its totient is φ = 70773768.

The previous prime is 212321309. The next prime is 212321323. The reversal of 212321322 is 223123212.

212321322 is a `hidden beast` number, since 21 + 2 + 321 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159744321 + 52577001 = 12639^2 + 7251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11795629 = 212321322 / (2 + 1 + 2 + 3 + 2 + 1 + 3 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212321295 and 212321304.

It is not an unprimeable number, because it can be changed into a prime (212321323) 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 5 ways as a sum of consecutive naturals, for example, 5897797 + ... + 5897832.

Almost surely, 2212321322 is an apocalyptic number.

212321322 is an abundant number, since it is smaller than the sum of its proper divisors (247708248).

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

212321322 is a wasteful number, since it uses less digits than its factorization.

212321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795637 (or 11795634 counting only the distinct ones).

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

The square root of 212321322 is about 14571.2498434417. The cubic root of 212321322 is about 596.5742947974.

Adding to 212321322 its reverse (223123212), we get a palindrome (435444534).

The spelling of 212321322 in words is "two hundred twelve million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 11795629 23591258 35386887 70773774 106160661 212321322