220052 has 24 divisors (see below), whose sum is σ = 456960. Its totient is φ = 90720.

The previous prime is 220021. The next prime is 220057. The reversal of 220052 is 250022.

220052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (19040).

2²²⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

220052 is an abundant number, since it is smaller than the sum of its proper divisors (236908).

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

220052 is a wasteful number, since it uses less digits than its factorization.

220052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 220052 is about 469.0970048934. The cubic root of 220052 is about 60.3728632684.

Adding to 220052 its reverse (250022), we get a palindrome (470074).

It can be divided in two parts, 2 and 20052, that multiplied together give a palindrome (40104).

The spelling of 220052 in words is "two hundred twenty thousand, fifty-two".