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220356 = 22326121
BaseRepresentation
bin110101110011000100
3102012021100
4311303010
524022411
64420100
71605303
oct656304
9365240
10220356
11140614
12a7630
13793b6
145a43a
1545456
hex35cc4

220356 has 18 divisors (see below), whose sum is σ = 557102. Its totient is φ = 73440.

The previous prime is 220351. The next prime is 220357. The reversal of 220356 is 653022.

220356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

220356 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 72900 = 384^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (220351) by changing a digit.

220356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3025 + ... + 3096.

2220356 is an apocalyptic number.

It is an amenable number.

220356 is an abundant number, since it is smaller than the sum of its proper divisors (336746).

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

220356 is a wasteful number, since it uses less digits than its factorization.

220356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220356 is about 469.4209198576. The cubic root of 220356 is about 60.4006520111.

Adding to 220356 its reverse (653022), we get a palindrome (873378).

It can be divided in two parts, 220 and 356, that added together give a square (576 = 242).

The spelling of 220356 in words is "two hundred twenty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 6121 12242 18363 24484 36726 55089 73452 110178 220356