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330233220030 = 23572977229937
BaseRepresentation
bin1001100111000110110…
…11110000101110111110
31011120101112001201212010
410303203123300232332
520402304201020110
6411412415552050
732600326025100
oct4634333605676
91146345051763
10330233220030
11118062052a5a
125400252b626
13251aa60c80c
1411daa539570
1588cba05020
hex4ce36f0bbe

330233220030 has 96 divisors (see below), whose sum is σ = 922904909856. Its totient is φ = 75404292096.

The previous prime is 330233220019. The next prime is 330233220071. The reversal of 330233220030 is 30022332033.

It is a super-2 number, since 2×3302332200302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 330233219979 and 330233220006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321222 + ... + 1551158.

It is an arithmetic number, because the mean of its divisors is an integer number (9613592811).

Almost surely, 2330233220030 is an apocalyptic number.

330233220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330233220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461452454928).

330233220030 is an abundant number, since it is smaller than the sum of its proper divisors (592671689826).

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

330233220030 is a wasteful number, since it uses less digits than its factorization.

330233220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230938 (or 230931 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 330233220030 its reverse (30022332033), we get a palindrome (360255552063).

The spelling of 330233220030 in words is "three hundred thirty billion, two hundred thirty-three million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 977 1470 1954 2931 4885 5862 6839 9770 13678 14655 20517 29310 34195 41034 47873 68390 95746 102585 143619 205170 229937 239365 287238 459874 478730 689811 718095 1149685 1379622 1436190 1609559 2299370 3219118 3449055 4828677 6898110 8047795 9657354 11266913 16095590 22533826 24143385 33800739 48286770 56334565 67601478 112669130 169003695 224648449 338007390 449296898 673945347 1123242245 1347890694 1572539143 2246484490 3145078286 3369726735 4717617429 6739453470 7862695715 9435234858 11007774001 15725391430 22015548002 23588087145 33023322003 47176174290 55038870005 66046644006 110077740010 165116610015 330233220030