10221216 has 48 divisors (see below), whose sum is σ = 28413504. Its totient is φ = 3206144.

The previous prime is 10221203. The next prime is 10221247. The reversal of 10221216 is 61212201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10221195 and 10221204.

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 7 ways as a sum of consecutive naturals, for example, 1500 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (591948).

Almost surely, 2^10221216 is an apocalyptic number.

10221216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10221216 is an abundant number, since it is smaller than the sum of its proper divisors (18192288).

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

10221216 is a wasteful number, since it uses less digits than its factorization.

10221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10221216 is about 3197.0636527914. The cubic root of 10221216 is about 217.0205477934.

Adding to 10221216 its reverse (61212201), we get a palindrome (71433417).

The spelling of 10221216 in words is "ten million, two hundred twenty-one thousand, two hundred sixteen".