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3084222141 = 3272111348907
BaseRepresentation
bin1011011111010101…
…0111111010111101
321221221111201101200
42313311113322331
522304030102031
61230013330113
7136300312200
oct26765277275
97857451350
103084222141
111342a65820
12720a96939
133a1c92620
1421388b937
15130b7d8e6
hexb7d57ebd

3084222141 has 72 divisors (see below), whose sum is σ = 6088459104. Its totient is φ = 1478917440.

The previous prime is 3084222137. The next prime is 3084222223. The reversal of 3084222141 is 1412224803.

It is not a de Polignac number, because 3084222141 - 22 = 3084222137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084222121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 38610 + ... + 87516.

It is an arithmetic number, because the mean of its divisors is an integer number (84561932).

Almost surely, 23084222141 is an apocalyptic number.

It is an amenable number.

3084222141 is a deficient number, since it is larger than the sum of its proper divisors (3004236963).

3084222141 is a wasteful number, since it uses less digits than its factorization.

3084222141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48951 (or 48941 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3084222141 is about 55535.7735248191. The cubic root of 3084222141 is about 1455.6217968004.

Adding to 3084222141 its reverse (1412224803), we get a palindrome (4496446944).

The spelling of 3084222141 in words is "three billion, eighty-four million, two hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 21021 48907 63063 146721 342349 440163 537977 635791 1027047 1613931 1907373 2396443 3081141 3765839 4450537 4841793 5722119 6993701 7189329 11297517 13351611 20981103 21567987 26360873 31153759 33892551 40054833 48955907 62943309 79082619 93461277 146867721 237247857 280383831 342691349 440603163 1028074047 3084222141