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300130220 = 2251323311619
BaseRepresentation
bin10001111000111…
…001111110101100
3202220202012021002
4101320321332230
51103313131340
645440455432
710303031135
oct2170717654
9686665232
10300130220
11144463305
128461a578
134a245160
142bc08c8c
151b537715
hex11e39fac

300130220 has 96 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 102516480.

The previous prime is 300130217. The next prime is 300130249. The reversal of 300130220 is 22031003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184571 + ... + 186189.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2300130220 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 300130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

300130220 is an abundant number, since it is smaller than the sum of its proper divisors (431435860).

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

300130220 is a wasteful number, since it uses less digits than its factorization.

300130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 300130220 is about 17324.2667954520. The cubic root of 300130220 is about 669.5297955808.

Adding to 300130220 its reverse (22031003), we get a palindrome (322161223).

The spelling of 300130220 in words is "three hundred million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 31 46 52 62 65 92 115 124 130 155 230 260 299 310 403 460 598 620 713 806 1196 1426 1495 1612 1619 2015 2852 2990 3238 3565 4030 5980 6476 7130 8060 8095 9269 14260 16190 18538 21047 32380 37076 37237 42094 46345 50189 74474 84188 92690 100378 105235 148948 185380 186185 200756 210470 250945 372370 420940 484081 501890 652457 744740 968162 1003780 1154347 1304914 1936324 2308694 2420405 2609828 3262285 4617388 4840810 5771735 6524570 9681620 11543470 13049140 15006511 23086940 30013022 60026044 75032555 150065110 300130220