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330221568 = 211371757
BaseRepresentation
bin10011101011101…
…100100000000000
3212000100222211110
4103223230200000
51134014042233
652433443320
711116560045
oct2353544000
9760328743
10330221568
1115a446396
1292710540
135354c8a1
1431bdd1cc
151decd663
hex13aec800

330221568 has 96 divisors (see below), whose sum is σ = 893954880. Its totient is φ = 108380160.

The previous prime is 330221561. The next prime is 330221587. The reversal of 330221568 is 865122033.

330221568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (330221561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435846 + ... + 436602.

It is an arithmetic number, because the mean of its divisors is an integer number (9312030).

Almost surely, 2330221568 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 330221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446977440).

330221568 is an abundant number, since it is smaller than the sum of its proper divisors (563733312).

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

330221568 is an equidigital number, since it uses as much as digits as its factorization.

330221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 330221568 is about 18171.9995597623. Note that the first 3 decimals coincide. The cubic root of 330221568 is about 691.1969478603.

The spelling of 330221568 in words is "three hundred thirty million, two hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 757 768 852 1024 1136 1514 1536 1704 2048 2271 2272 3028 3072 3408 4542 4544 6056 6144 6816 9084 9088 12112 13632 18168 18176 24224 27264 36336 36352 48448 53747 54528 72672 72704 96896 107494 109056 145344 145408 161241 193792 214988 218112 290688 322482 387584 429976 436224 581376 644964 775168 859952 1162752 1289928 1550336 1719904 2325504 2579856 3439808 4651008 5159712 6879616 10319424 13759232 20638848 27518464 41277696 55036928 82555392 110073856 165110784 330221568