Search a number
-
+
3001022332 = 2271131210139
BaseRepresentation
bin1011001011011111…
…1111011101111100
321202010221201201021
42302313333131330
522121230203312
61213442153524
7134240161150
oct26267773574
97663851637
103001022332
1112aaaa9550
126b90528a4
1338a981979
142067d1060
151286e6c07
hexb2dff77c

3001022332 has 72 divisors (see below), whose sum is σ = 6766381440. Its totient is φ = 1131400800.

The previous prime is 3001022303. The next prime is 3001022351. The reversal of 3001022332 is 2332201003.

It is a super-2 number, since 2×30010223322 = 18012270074325436448, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 290919 + ... + 301057.

It is an arithmetic number, because the mean of its divisors is an integer number (93977520).

Almost surely, 23001022332 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 3001022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383190720).

3001022332 is an abundant number, since it is smaller than the sum of its proper divisors (3765359108).

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

3001022332 is a wasteful number, since it uses less digits than its factorization.

3001022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223 (or 10190 counting only the distinct ones).

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

The square root of 3001022332 is about 54781.5875271975. The cubic root of 3001022332 is about 1442.4133803554.

Adding to 3001022332 its reverse (2332201003), we get a palindrome (5333223335).

The spelling of 3001022332 in words is "three billion, one million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 961 1364 1922 2387 3844 4774 6727 9548 10139 10571 13454 20278 21142 26908 40556 42284 70973 73997 111529 141946 147994 223058 283892 295988 314309 446116 628618 780703 1257236 1561406 2200163 3122812 3457399 4400326 6914798 8800652 9743579 13829596 19487158 24201793 38974316 48403586 68205053 96807172 107179369 136410106 214358738 272820212 428717476 750255583 1500511166 3001022332