10022400225 has 72 divisors (see below), whose sum is σ = 18422838720. Its totient is φ = 5205594240.

The previous prime is 10022400107. The next prime is 10022400229. The reversal of 10022400225 is 52200422001.

10022400225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022400225 - 2⁷ = 10022400097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022400198 and 10022400207.

It is not an unprimeable number, because it can be changed into a prime (10022400229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3762244 + ... + 3764906.

It is an arithmetic number, because the mean of its divisors is an integer number (255872760).

Almost surely, 2^10022400225 is an apocalyptic number.

10022400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10022400225 is a deficient number, since it is larger than the sum of its proper divisors (8400438495).

10022400225 is a wasteful number, since it uses less digits than its factorization.

10022400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10022400225 its reverse (52200422001), we get a palindrome (62222822226).

The spelling of 10022400225 in words is "ten billion, twenty-two million, four hundred thousand, two hundred twenty-five".