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210213 = 3223357
BaseRepresentation
bin110011010100100101
3101200100200
4303110211
523211323
64301113
71533603
oct632445
9350320
10210213
11133a33
12a1799
13748b3
1456873
1542443
hex33525

210213 has 6 divisors (see below), whose sum is σ = 303654. Its totient is φ = 140136.

The previous prime is 210209. The next prime is 210229. The reversal of 210213 is 312012.

It is a happy number.

210213 is digitally balanced in base 2, 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 only one way, i.e., 199809 + 10404 = 447^2 + 102^2 .

It is not a de Polignac number, because 210213 - 22 = 210209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23357 = 210213 / (2 + 1 + 0 + 2 + 1 + 3).

210213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 210195 and 210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11670 + ... + 11687.

It is an arithmetic number, because the mean of its divisors is an integer number (50609).

2210213 is an apocalyptic number.

It is an amenable number.

210213 is a deficient number, since it is larger than the sum of its proper divisors (93441).

210213 is a wasteful number, since it uses less digits than its factorization.

210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23363 (or 23360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 210213 is about 458.4899126480. The cubic root of 210213 is about 59.4593088541.

Adding to 210213 its reverse (312012), we get a palindrome (522225).

The spelling of 210213 in words is "two hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 23357 70071 210213