10225133400 has 96 divisors (see below), whose sum is σ = 32435156160. Its totient is φ = 2663283840.

The previous prime is 10225133381. The next prime is 10225133411. The reversal of 10225133400 is 433152201.

10225133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172362 + ... + 223961.

It is an arithmetic number, because the mean of its divisors is an integer number (337866210).

Almost surely, 2^10225133400 is an apocalyptic number.

10225133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225133400 is an abundant number, since it is smaller than the sum of its proper divisors (22210022760).

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

10225133400 is a wasteful number, since it uses less digits than its factorization.

10225133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396385 (or 396376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10225133400 its reverse (433152201), we get a palindrome (10658285601).

The spelling of 10225133400 in words is "ten billion, two hundred twenty-five million, one hundred thirty-three thousand, four hundred".