220950 has 36 divisors (see below), whose sum is σ = 594828. Its totient is φ = 58800.

The previous prime is 220939. The next prime is 220973. The reversal of 220950 is 59022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 220950.

It is an unprimeable number.

220950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 205 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (16523).

2²²⁰⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297414).

220950 is an abundant number, since it is smaller than the sum of its proper divisors (373878).

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

220950 is a wasteful number, since it uses less digits than its factorization.

220950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 220950 is about 470.0531884798. The cubic root of 220950 is about 60.4548760811.

Adding to 220950 its reverse (59022), we get a palindrome (279972).

The spelling of 220950 in words is "two hundred twenty thousand, nine hundred fifty".