10002200 has 48 divisors (see below), whose sum is σ = 25050480. Its totient is φ = 3692160.

The previous prime is 10002199. The next prime is 10002203. The reversal of 10002200 is 220001.

It is a Harshad number since it is a multiple of its sum of digits (5).

10002200 is a modest number, since divided by 2200 gives 1000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677 + ... + 4523.

It is an arithmetic number, because the mean of its divisors is an integer number (521885).

Almost surely, 2^10002200 is an apocalyptic number.

10002200 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 10002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525240).

10002200 is an abundant number, since it is smaller than the sum of its proper divisors (15048280).

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

10002200 is a wasteful number, since it uses less digits than its factorization.

10002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10002200 is about 3162.6254915813. The cubic root of 10002200 is about 215.4592670324.

Adding to 10002200 its reverse (220001), we get a palindrome (10222201).

The spelling of 10002200 in words is "ten million, two thousand, two hundred".