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330226416 = 243313127463
BaseRepresentation
bin10011101011101…
…101101011110000
3212000101020111000
4103223231223300
51134014221131
652433522000
711116610142
oct2353555360
9760336430
10330226416
1115a449aa3
1292713300
1353551b60
1431c00c92
151decece6
hex13aedaf0

330226416 has 160 divisors (see below), whose sum is σ = 1031045120. Its totient is φ = 100590336.

The previous prime is 330226397. The next prime is 330226439. The reversal of 330226416 is 614622033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 330226416.

It is a congruent number.

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, 713001 + ... + 713463.

It is an arithmetic number, because the mean of its divisors is an integer number (6444032).

Almost surely, 2330226416 is an apocalyptic number.

330226416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330226416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515522560).

330226416 is an abundant number, since it is smaller than the sum of its proper divisors (700818704).

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

330226416 is a wasteful number, since it uses less digits than its factorization.

330226416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330226416 is about 18172.1329513076. The cubic root of 330226416 is about 691.2003303432.

Adding to 330226416 its reverse (614622033), we get a palindrome (944848449).

The spelling of 330226416 in words is "three hundred thirty million, two hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 127 144 156 208 216 234 254 312 351 381 432 463 468 508 624 702 762 926 936 1016 1143 1389 1404 1524 1651 1852 1872 2032 2286 2778 2808 3048 3302 3429 3704 4167 4572 4953 5556 5616 6019 6096 6604 6858 7408 8334 9144 9906 11112 12038 12501 13208 13716 14859 16668 18057 18288 19812 22224 24076 25002 26416 27432 29718 33336 36114 39624 44577 48152 50004 54171 54864 58801 59436 66672 72228 79248 89154 96304 100008 108342 117602 118872 144456 162513 176403 178308 200016 216684 235204 237744 288912 325026 352806 356616 433368 470408 529209 650052 705612 713232 764413 866736 940816 1058418 1300104 1411224 1528826 1587627 2116836 2293239 2600208 2822448 3057652 3175254 4233672 4586478 6115304 6350508 6879717 8467344 9172956 12230608 12701016 13759434 18345912 20639151 25402032 27518868 36691824 41278302 55037736 82556604 110075472 165113208 330226416