220352 has 28 divisors (see below), whose sum is σ = 478536. Its totient is φ = 99840.

The previous prime is 220351. The next prime is 220357. The reversal of 220352 is 253022.

220352 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 (220351) 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, 548 + ... + 860.

2²²⁰³⁵² is an apocalyptic number.

220352 is a gapful number since it is divisible by the number (22) 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 220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239268).

220352 is an abundant number, since it is smaller than the sum of its proper divisors (258184).

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

220352 is a wasteful number, since it uses less digits than its factorization.

220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

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

The square root of 220352 is about 469.4166592698. The cubic root of 220352 is about 60.4002865358.

Adding to 220352 its reverse (253022), we get a palindrome (473374).

It can be divided in two parts, 2 and 20352, that multiplied together give a palindrome (40704).

The spelling of 220352 in words is "two hundred twenty thousand, three hundred fifty-two".