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330020432214 = 231131293550513
BaseRepresentation
bin1001100110101101100…
…00000010100101010110
31011112211200122222211220
410303112300002211112
520401340212312324
6411335335111210
732562133250334
oct4632660024526
91145750588756
10330020432214
11117a62a26360
1253b63212506
13251754c8a75
1411d8a188b54
1588b7ec1b79
hex4cd6c02956

330020432214 has 64 divisors (see below), whose sum is σ = 745809942528. Its totient is φ = 96449702400.

The previous prime is 330020432207. The next prime is 330020432219. The reversal of 330020432214 is 412234020033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020432219) by changing a digit.

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, 324222 + ... + 874734.

It is an arithmetic number, because the mean of its divisors is an integer number (11653280352).

Almost surely, 2330020432214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330020432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372904971264).

330020432214 is an abundant number, since it is smaller than the sum of its proper divisors (415789510314).

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

330020432214 is a wasteful number, since it uses less digits than its factorization.

330020432214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550853.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 330020432214 its reverse (412234020033), we get a palindrome (742254452247).

The spelling of 330020432214 in words is "three hundred thirty billion, twenty million, four hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 293 341 586 682 879 1023 1758 2046 3223 6446 9083 9669 18166 19338 27249 54498 99913 199826 299739 550513 599478 1101026 1651539 3303078 6055643 12111286 17065903 18166929 34131806 36333858 51197709 102395418 161300309 187724933 322600618 375449866 483900927 563174799 967801854 1126349598 1774303399 3548606798 5000309579 5322910197 10000619158 10645820394 15000928737 30001857474 55003405369 110006810738 165010216107 330020432214