223120 has 20 divisors (see below), whose sum is σ = 518940. Its totient is φ = 89216.

The previous prime is 223103. The next prime is 223129. The reversal of 223120 is 21322.

223120 is nontrivially palindromic in base 3.

223120 is digitally balanced in base 2, because in such base 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 110224 + 112896 = 332^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×223120³ = 33322437225984000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 223097 and 223106.

It is not an unprimeable number, because it can be changed into a prime (223129) by changing a digit.

223120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1315 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2²²³¹²⁰ is an apocalyptic number.

223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223120 is an abundant number, since it is smaller than the sum of its proper divisors (295820).

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

223120 is a wasteful number, since it uses less digits than its factorization.

223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 223120 is about 472.3557981014. The cubic root of 223120 is about 60.6521453524.

Adding to 223120 its reverse (21322), we get a palindrome (244442).

It can be divided in two parts, 223 and 120, that added together give a palindrome (343).

The spelling of 223120 in words is "two hundred twenty-three thousand, one hundred twenty", and thus it is an iban number.