10022800 has 30 divisors (see below), whose sum is σ = 24080738. Its totient is φ = 4008960.

The previous prime is 10022791. The next prime is 10022801. The reversal of 10022800 is 822001.

10022800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 9909904 = 336^2 + 3148^2 .

It is not an unprimeable number, because it can be changed into a prime (10022801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12129 + ... + 12928.

Almost surely, 2^10022800 is an apocalyptic number.

10022800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022800 is an abundant number, since it is smaller than the sum of its proper divisors (14057938).

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

10022800 is a wasteful number, since it uses less digits than its factorization.

10022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10022800 is about 3165.8806041921. The cubic root of 10022800 is about 215.6070817569.

Adding to 10022800 its reverse (822001), we get a palindrome (10844801).

The spelling of 10022800 in words is "ten million, twenty-two thousand, eight hundred".