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220304 = 2472281
BaseRepresentation
bin110101110010010000
3102012012102
4311302100
524022204
64415532
71605200
oct656220
9365172
10220304
11140577
12a75a8
1379376
145a400
154541e
hex35c90

220304 has 30 divisors (see below), whose sum is σ = 498294. Its totient is φ = 94080.

The previous prime is 220301. The next prime is 220307. The reversal of 220304 is 403022.

220304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220301) and next prime (220307).

It can be written as a sum of positive squares in only one way, i.e., 200704 + 19600 = 448^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (220301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 644 + ... + 924.

2220304 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 220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249147).

220304 is an abundant number, since it is smaller than the sum of its proper divisors (277990).

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

220304 is a wasteful number, since it uses less digits than its factorization.

220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220304 is about 469.3655291987. The cubic root of 220304 is about 60.3959004863.

Adding to 220304 its reverse (403022), we get a palindrome (623326).

The spelling of 220304 in words is "two hundred twenty thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 281 392 562 784 1124 1967 2248 3934 4496 7868 13769 15736 27538 31472 55076 110152 220304