220350 has 48 divisors (see below), whose sum is σ = 593712. Its totient is φ = 53760.

The previous prime is 220333. The next prime is 220351. The reversal of 220350 is 53022.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220350.

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 23 ways as a sum of consecutive naturals, for example, 1894 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2²²⁰³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

220350 is an abundant number, since it is smaller than the sum of its proper divisors (373362).

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

220350 is a wasteful number, since it uses less digits than its factorization.

220350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 220350 is about 469.4145289613. The cubic root of 220350 is about 60.4001037964.

Adding to 220350 its reverse (53022), we get a palindrome (273372).

The spelling of 220350 in words is "two hundred twenty thousand, three hundred fifty".