223257504 has 48 divisors (see below), whose sum is σ = 611537472. Its totient is φ = 71182848.

The previous prime is 223257497. The next prime is 223257509. The reversal of 223257504 is 405752322.

223257504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×223257504³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223257509) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48349 + ... + 52764.

It is an arithmetic number, because the mean of its divisors is an integer number (12740364).

Almost surely, 2^223257504 is an apocalyptic number.

223257504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223257504 is an abundant number, since it is smaller than the sum of its proper divisors (388279968).

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

223257504 is a wasteful number, since it uses less digits than its factorization.

223257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101149 (or 101141 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 223257504 is about 14941.8039071593. The cubic root of 223257504 is about 606.6460232614.

The spelling of 223257504 in words is "two hundred twenty-three million, two hundred fifty-seven thousand, five hundred four".