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330010232220 = 2232529493112821
BaseRepresentation
bin1001100110101100010…
…01001000010110011100
31011112210222110210002100
410303112021020112130
520401330104412340
6411334332325100
732561650455624
oct4632611102634
91145728423070
10330010232220
11117a58199a09
1253b5b913790
1325173367176
1411d88a91884
1588b7159830
hex4cd624859c

330010232220 has 144 divisors (see below), whose sum is σ = 1035840143520. Its totient is φ = 84944294400.

The previous prime is 330010232197. The next prime is 330010232231. The reversal of 330010232220 is 22232010033.

It is a happy number.

330010232220 is a `hidden beast` number, since 330 + 0 + 10 + 2 + 322 + 2 + 0 = 666.

It is a super-2 number, since 2×3300102322202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330010232193 and 330010232202.

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 47 ways as a sum of consecutive naturals, for example, 25733410 + ... + 25746230.

It is an arithmetic number, because the mean of its divisors is an integer number (7193334330).

Almost surely, 2330010232220 is an apocalyptic number.

330010232220 is a gapful number since it is divisible by the number (30) 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 330010232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517920071760).

330010232220 is an abundant number, since it is smaller than the sum of its proper divisors (705829911300).

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

330010232220 is a wasteful number, since it uses less digits than its factorization.

330010232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796 (or 17791 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 330010232220 its reverse (22232010033), we get a palindrome (352242242253).

The spelling of 330010232220 in words is "three hundred thirty billion, ten million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4931 5220 9862 12821 14793 19724 24655 25642 29586 38463 44379 49310 51284 59172 64105 73965 76926 88758 98620 115389 128210 142999 147930 153852 177516 192315 221895 230778 256420 285998 295860 371809 384630 428997 443790 461556 571996 576945 714995 743618 769260 857994 887580 1115427 1153890 1286991 1429990 1487236 1715988 1859045 2144985 2230854 2307780 2573982 2859980 3346281 3718090 4289970 4461708 5147964 5577135 6434955 6692562 7436180 8579940 11154270 12869910 13385124 16731405 22308540 25739820 33462810 63220351 66925620 126440702 189661053 252881404 316101755 379322106 568983159 632203510 758644212 948305265 1137966318 1264407020 1833390179 1896610530 2275932636 2844915795 3666780358 3793221060 5500170537 5689831590 7333560716 9166950895 11000341074 11379663180 16500511611 18333901790 22000682148 27500852685 33001023222 36667803580 55001705370 66002046444 82502558055 110003410740 165005116110 330010232220