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2230308 = 2233107193
BaseRepresentation
bin1000100000100000100100
311012022102000
420200200210
51032332213
6115445300
724646233
oct10404044
94168360
102230308
111293733
128b6830
13601212
14420b1a
152e0c73
hex220824

2230308 has 48 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 732672.

The previous prime is 2230301. The next prime is 2230309. The reversal of 2230308 is 8030322.

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

It is a d-powerful number, because it can be written as 211 + 217 + 32 + 0 + 33 + 0 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11460 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

22230308 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 2230308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

2230308 is an abundant number, since it is smaller than the sum of its proper divisors (3636252).

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

2230308 is a wasteful number, since it uses less digits than its factorization.

2230308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2230308 is about 1493.4215747738. The cubic root of 2230308 is about 130.6536702100.

The spelling of 2230308 in words is "two million, two hundred thirty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 193 214 321 386 428 579 642 772 963 1158 1284 1737 1926 2316 2889 3474 3852 5211 5778 6948 10422 11556 20651 20844 41302 61953 82604 123906 185859 247812 371718 557577 743436 1115154 2230308