23224405200 has 120 divisors (see below), whose sum is σ = 74499026400. Its totient is φ = 6184558080.

The previous prime is 23224405157. The next prime is 23224405219. The reversal of 23224405200 is 250442232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 873706 + ... + 899894.

It is an arithmetic number, because the mean of its divisors is an integer number (620825220).

Almost surely, 2^23224405200 is an apocalyptic number.

23224405200 is a gapful number since it is divisible by the number (20) 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 23224405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37249513200).

23224405200 is an abundant number, since it is smaller than the sum of its proper divisors (51274621200).

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

23224405200 is a wasteful number, since it uses less digits than its factorization.

23224405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26949 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 23224405200 its reverse (250442232), we get a palindrome (23474847432).

The spelling of 23224405200 in words is "twenty-three billion, two hundred twenty-four million, four hundred five thousand, two hundred".