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220368 = 2434591
BaseRepresentation
bin110101110011010000
3102012021210
4311303100
524022433
64420120
71605321
oct656320
9365253
10220368
11140625
12a7640
13793c5
145a448
1545463
hex35cd0

220368 has 20 divisors (see below), whose sum is σ = 569408. Its totient is φ = 73440.

The previous prime is 220361. The next prime is 220369. The reversal of 220368 is 863022.

220368 is digitally balanced in base 2 and base 3, because in such bases 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 (220361) by changing a digit.

220368 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 3 ways as a sum of consecutive naturals, for example, 2248 + ... + 2343.

2220368 is an apocalyptic number.

It is an amenable number.

220368 is an abundant number, since it is smaller than the sum of its proper divisors (349040).

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

220368 is a wasteful number, since it uses less digits than its factorization.

220368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220368 is about 469.4337013892. The cubic root of 220368 is about 60.4017484107.

The spelling of 220368 in words is "two hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 4591 9182 13773 18364 27546 36728 55092 73456 110184 220368