10223025400 has 96 divisors (see below), whose sum is σ = 27186965280. Its totient is φ = 3502080000.

The previous prime is 10223025389. The next prime is 10223025431. The reversal of 10223025400 is 452032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239120 + ... + 2243680.

It is an arithmetic number, because the mean of its divisors is an integer number (283197555).

Almost surely, 2^10223025400 is an apocalyptic number.

10223025400 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 10223025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593482640).

10223025400 is an abundant number, since it is smaller than the sum of its proper divisors (16963939880).

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

10223025400 is a wasteful number, since it uses less digits than its factorization.

10223025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 10223025400 its reverse (452032201), we get a palindrome (10675057601).

The spelling of 10223025400 in words is "ten billion, two hundred twenty-three million, twenty-five thousand, four hundred".