10322232400 has 60 divisors (see below), whose sum is σ = 24841554012. Its totient is φ = 4121835520.

The previous prime is 10322232383. The next prime is 10322232419. The reversal of 10322232400 is 423222301.

It can be written as a sum of positive squares in 6 ways, for example, as 2087758864 + 8234473536 = 45692^2 + 90744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215442 + ... + 258958.

Almost surely, 2^10322232400 is an apocalyptic number.

10322232400 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 10322232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420777006).

10322232400 is an abundant number, since it is smaller than the sum of its proper divisors (14519321612).

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

10322232400 is a wasteful number, since it uses less digits than its factorization.

10322232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44128 (or 44117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10322232400 its reverse (423222301), we get a palindrome (10745454701).

The spelling of 10322232400 in words is "ten billion, three hundred twenty-two million, two hundred thirty-two thousand, four hundred".