223520 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 80640.

The previous prime is 223507. The next prime is 223529. The reversal of 223520 is 25322.

It is a super-2 number, since 2×223520² = 99922380800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 223495 and 223504.

It is not an unprimeable number, because it can be changed into a prime (223529) by changing a digit.

223520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²²³⁵²⁰ is an apocalyptic number.

223520 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 223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

223520 is an abundant number, since it is smaller than the sum of its proper divisors (357088).

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

223520 is a wasteful number, since it uses less digits than its factorization.

223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 223520 is about 472.7790181470. The cubic root of 223520 is about 60.6883685725.

Adding to 223520 its reverse (25322), we get a palindrome (248842).

The spelling of 223520 in words is "two hundred twenty-three thousand, five hundred twenty".