223055224400 has 180 divisors, whose sum is σ = 551864321280. Its totient is φ = 86635987200.

The previous prime is 223055224393. The next prime is 223055224411. The reversal of 223055224400 is 4422550322.

223055224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141262811 + ... + 141264389.

It is an arithmetic number, because the mean of its divisors is an integer number (3065912896).

Almost surely, 2^223055224400 is an apocalyptic number.

223055224400 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 223055224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275932160640).

223055224400 is an abundant number, since it is smaller than the sum of its proper divisors (328809096880).

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

223055224400 is a wasteful number, since it uses less digits than its factorization.

223055224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 223055224400 its reverse (4422550322), we get a palindrome (227477774722).

The spelling of 223055224400 in words is "two hundred twenty-three billion, fifty-five million, two hundred twenty-four thousand, four hundred".