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220056 = 23353173
BaseRepresentation
bin110101101110011000
3102011212020
4311232120
524020211
64414440
71604364
oct655630
9364766
10220056
11140371
12a7420
1379215
145a2a4
1545306
hex35b98

220056 has 32 divisors (see below), whose sum is σ = 563760. Its totient is φ = 71552.

The previous prime is 220021. The next prime is 220057. The reversal of 220056 is 650022.

220056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

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, 1186 + ... + 1358.

2220056 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 220056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281880).

220056 is an abundant number, since it is smaller than the sum of its proper divisors (343704).

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

220056 is a wasteful number, since it uses less digits than its factorization.

220056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220056 is about 469.1012683846. The cubic root of 220056 is about 60.3732290759.

Adding to 220056 its reverse (650022), we get a palindrome (870078).

The spelling of 220056 in words is "two hundred twenty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 318 346 424 519 636 692 1038 1272 1384 2076 4152 9169 18338 27507 36676 55014 73352 110028 220056