220088 has 32 divisors (see below), whose sum is σ = 468720. Its totient is φ = 96000.

The previous prime is 220063. The next prime is 220123. The reversal of 220088 is 880022.

220088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 3578 + ... + 3638.

2²²⁰⁰⁸⁸ 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 220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

220088 is an abundant number, since it is smaller than the sum of its proper divisors (248632).

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

220088 is a wasteful number, since it uses less digits than its factorization.

220088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 220088 is about 469.1353749186. The cubic root of 220088 is about 60.3761553760.

It can be divided in two parts, 2200 and 88, that multiplied together give a square (193600 = 440²).

The spelling of 220088 in words is "two hundred twenty thousand, eighty-eight".