10220200 has 48 divisors (see below), whose sum is σ = 23999580. Its totient is φ = 4047360.

The previous prime is 10220159. The next prime is 10220239. The reversal of 10220200 is 202201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4334724 + 5885476 = 2082^2 + 2426^2 .

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 11 ways as a sum of consecutive naturals, for example, 27214 + ... + 27586.

Almost surely, 2^10220200 is an apocalyptic number.

10220200 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 10220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999790).

10220200 is an abundant number, since it is smaller than the sum of its proper divisors (13779380).

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

10220200 is a wasteful number, since it uses less digits than its factorization.

10220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10220200 is about 3196.9047530385. The cubic root of 10220200 is about 217.0133568622.

Adding to 10220200 its reverse (202201), we get a palindrome (10422401).

It can be divided in two parts, 102 and 20200, that added together give a palindrome (20302).

The spelling of 10220200 in words is "ten million, two hundred twenty thousand, two hundred".