10222600 has 48 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 4031040.

The previous prime is 10222573. The next prime is 10222601. The reversal of 10222600 is 622201.

It is a happy number.

10222600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10222601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15477 + ... + 16123.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 2^10222600 is an apocalyptic number.

10222600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

10222600 is an abundant number, since it is smaller than the sum of its proper divisors (13883000).

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

10222600 is a wasteful number, since it uses less digits than its factorization.

10222600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10222600 is about 3197.2800940800. The cubic root of 10222600 is about 217.0303425472.

Adding to 10222600 its reverse (622201), we get a palindrome (10844801).

The spelling of 10222600 in words is "ten million, two hundred twenty-two thousand, six hundred".