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330021000232 = 2371119145119433
BaseRepresentation
bin1001100110101101100…
…10001101010000101000
31011112211201201212000121
410303112302031100220
520401340334001412
6411335355213024
732562141134350
oct4632662152050
91145751655017
10330021000232
11117a632840a0
1253b63447174
1325175667481
1411d8a295b60
1588b8085107
hex4cd6c8d428

330021000232 has 128 divisors (see below), whose sum is σ = 812683238400. Its totient is φ = 121722048000.

The previous prime is 330021000229. The next prime is 330021000247. The reversal of 330021000232 is 232000120033.

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, 16972788 + ... + 16992220.

It is an arithmetic number, because the mean of its divisors is an integer number (6349087800).

Almost surely, 2330021000232 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 330021000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406341619200).

330021000232 is an abundant number, since it is smaller than the sum of its proper divisors (482662238168).

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

330021000232 is a wasteful number, since it uses less digits than its factorization.

330021000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 330021000232 its reverse (232000120033), we get a palindrome (562021120265).

The spelling of 330021000232 in words is "three hundred thirty billion, twenty-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1451 1463 1672 2902 2926 5804 5852 10157 11608 11704 15961 19433 20314 27569 31922 38866 40628 55138 63844 77732 81256 110276 111727 127688 136031 155464 192983 213763 220552 223454 272062 303259 369227 385966 427526 446908 544124 606518 738454 771932 855052 893816 1088248 1213036 1476908 1496341 1543864 1710104 2122813 2426072 2584589 2953816 2992682 4061497 4245626 5169178 5985364 8122994 8491252 10338356 11970728 16245988 16982504 20676712 28197283 28430479 32491976 56394566 56860958 112789132 113721916 197380981 225578264 227443832 310170113 394761962 535748377 620340226 789523924 1071496754 1240680452 1579047848 2142993508 2171190791 2481360904 3750238639 4285987016 4342381582 5893232147 7500477278 8684763164 11786464294 15000954556 17369526328 23572928588 30001909112 41252625029 47145857176 82505250058 165010500116 330021000232