10224213 has 16 divisors (see below), whose sum is σ = 14432256. Its totient is φ = 6424880.

The previous prime is 10224187. The next prime is 10224217. The reversal of 10224213 is 31242201.

It is a cyclic number.

It is not a de Polignac number, because 10224213 - 2¹³ = 10216021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10224192 and 10224201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224217) 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, 3856 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (902016).

Almost surely, 2^10224213 is an apocalyptic number.

It is an amenable number.

10224213 is a deficient number, since it is larger than the sum of its proper divisors (4208043).

10224213 is a wasteful number, since it uses less digits than its factorization.

10224213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10224213 is about 3197.5323297818. The cubic root of 10224213 is about 217.0417568492.

Adding to 10224213 its reverse (31242201), we get a palindrome (41466414).

It can be divided in two parts, 10224 and 213, that multiplied together give a palindrome (2177712).

The spelling of 10224213 in words is "ten million, two hundred twenty-four thousand, two hundred thirteen".