220512 has 24 divisors (see below), whose sum is σ = 579096. Its totient is φ = 73472.

The previous prime is 220511. The next prime is 220513. The reversal of 220512 is 215022.

220512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220511) and next prime (220513).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 (220511) 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, 1053 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (24129).

2²²⁰⁵¹² is an apocalyptic number.

It is an amenable number.

220512 is an abundant number, since it is smaller than the sum of its proper divisors (358584).

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

220512 is a wasteful number, since it uses less digits than its factorization.

220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 220512 is about 469.5870526324. The cubic root of 220512 is about 60.4149021020.

Adding to 220512 its reverse (215022), we get a palindrome (435534).

The spelling of 220512 in words is "two hundred twenty thousand, five hundred twelve".