223540320 has 192 divisors, whose sum is σ = 750919680. Its totient is φ = 55738368.

The previous prime is 223540309. The next prime is 223540337. The reversal of 223540320 is 23045322.

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 31 ways as a sum of consecutive naturals, for example, 1158144 + ... + 1158336.

It is an arithmetic number, because the mean of its divisors is an integer number (3911040).

Almost surely, 2^223540320 is an apocalyptic number.

223540320 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 223540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375459840).

223540320 is an abundant number, since it is smaller than the sum of its proper divisors (527379360).

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

223540320 is a wasteful number, since it uses less digits than its factorization.

223540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 223540320 is about 14951.2648294383. The cubic root of 223540320 is about 606.9020755826.

Adding to 223540320 its reverse (23045322), we get a palindrome (246585642).

The spelling of 223540320 in words is "two hundred twenty-three million, five hundred forty thousand, three hundred twenty".