223009641600 has 192 divisors, whose sum is σ = 735582384000. Its totient is φ = 59384688640.

The previous prime is 223009641599. The next prime is 223009641623. The reversal of 223009641600 is 6146900322.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6886246 + ... + 6918554.

It is an arithmetic number, because the mean of its divisors is an integer number (3831158250).

Almost surely, 2^223009641600 is an apocalyptic number.

223009641600 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 223009641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367791192000).

223009641600 is an abundant number, since it is smaller than the sum of its proper divisors (512572742400).

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

223009641600 is a wasteful number, since it uses less digits than its factorization.

223009641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33055 (or 33038 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 223009641600 in words is "two hundred twenty-three billion, nine million, six hundred forty-one thousand, six hundred".