10223342400 has 336 divisors, whose sum is σ = 34541789184. Its totient is φ = 2646251520.

The previous prime is 10223342357. The next prime is 10223342401. The reversal of 10223342400 is 424332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692609 + ... + 26692991.

It is an arithmetic number, because the mean of its divisors is an integer number (102802944).

Almost surely, 2^10223342400 is an apocalyptic number.

10223342400 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 10223342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270894592).

10223342400 is an abundant number, since it is smaller than the sum of its proper divisors (24318446784).

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

10223342400 is a wasteful number, since it uses less digits than its factorization.

10223342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10223342400 its reverse (424332201), we get a palindrome (10647674601).

The spelling of 10223342400 in words is "ten billion, two hundred twenty-three million, three hundred forty-two thousand, four hundred".