10223134400 has 84 divisors (see below), whose sum is σ = 25183414200. Its totient is φ = 4084684800.

The previous prime is 10223134393. The next prime is 10223134417. The reversal of 10223134400 is 443132201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1675355 + ... + 1681445.

It is an arithmetic number, because the mean of its divisors is an integer number (299802550).

Almost surely, 2^10223134400 is an apocalyptic number.

10223134400 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 10223134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591707100).

10223134400 is an abundant number, since it is smaller than the sum of its proper divisors (14960279800).

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

10223134400 is a wasteful number, since it uses less digits than its factorization.

10223134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223134400 its reverse (443132201), we get a palindrome (10666266601).

It can be divided in two parts, 102231 and 34400, that added together give a palindrome (136631).

The spelling of 10223134400 in words is "ten billion, two hundred twenty-three million, one hundred thirty-four thousand, four hundred".