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300227284900 = 225215723492
BaseRepresentation
bin1000101111001101111…
…00001100111110100100
31001200221100121022000101
410113212330030332210
514404331141104100
6345531132353444
730455624546464
oct4274674147644
91050840538011
10300227284900
11106364525864
124a229615884
1322407c4a10a
14107613c7ba4
157c2260786a
hex45e6f0cfa4

300227284900 has 81 divisors (see below), whose sum is σ = 657553368969. Its totient is φ = 118984095360.

The previous prime is 300227284859. The next prime is 300227284933. The reversal of 300227284900 is 9482722003.

The square root of 300227284900 is 547930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 183367229796 + 116860055104 = 428214^2 + 341848^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 300227284900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 860249926 + ... + 860250274.

Almost surely, 2300227284900 is an apocalyptic number.

300227284900 is the 547930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300227284900

300227284900 is an abundant number, since it is smaller than the sum of its proper divisors (357326084069).

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

300227284900 is an equidigital number, since it uses as much as digits as its factorization.

300227284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 300227284900 in words is "three hundred billion, two hundred twenty-seven million, two hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 349 628 698 785 1396 1570 1745 3140 3490 3925 6980 7850 8725 15700 17450 24649 34900 49298 54793 98596 109586 121801 123245 219172 243602 246490 273965 487204 492980 547930 609005 616225 1095860 1218010 1232450 1369825 2436020 2464900 2739650 3045025 5479300 6090050 8602501 12180100 17205002 19122757 34410004 38245514 43012505 76491028 86025010 95613785 172050020 191227570 215062525 382455140 430125050 478068925 860250100 956137850 1912275700 3002272849 6004545698 12009091396 15011364245 30022728490 60045456980 75056821225 150113642450 300227284900