223540 has 12 divisors (see below), whose sum is σ = 469476. Its totient is φ = 89408.

The previous prime is 223529. The next prime is 223543. The reversal of 223540 is 45322.

223540 = 115² + 116² + ... + 129².

223540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 80656 = 378^2 + 284^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5569 + ... + 5608.

It is an arithmetic number, because the mean of its divisors is an integer number (39123).

2²²³⁵⁴⁰ is an apocalyptic number.

223540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223540 is an abundant number, since it is smaller than the sum of its proper divisors (245936).

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

223540 is a wasteful number, since it uses less digits than its factorization.

223540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11186 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 223540 is about 472.8001692047. The cubic root of 223540 is about 60.6901785987.

Adding to 223540 its reverse (45322), we get a palindrome (268862).

The spelling of 223540 in words is "two hundred twenty-three thousand, five hundred forty".