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4224301116 = 2237598111051
BaseRepresentation
bin1111101111001001…
…1011100000111100
3101220101202201201220
43323302123200330
532122410113431
61535101233340
7206452652460
oct37362334074
911811681656
104224301116
111878564a52
1299a862850
13524236a79
142c10604a0
1519acceb96
hexfbc9b83c

4224301116 has 96 divisors (see below), whose sum is σ = 11480770560. Its totient is φ = 1183896000.

The previous prime is 4224301091. The next prime is 4224301121. The reversal of 4224301116 is 6111034224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018791 + ... + 4019841.

It is an arithmetic number, because the mean of its divisors is an integer number (119591360).

Almost surely, 24224301116 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 4224301116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740385280).

4224301116 is an abundant number, since it is smaller than the sum of its proper divisors (7256469444).

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

4224301116 is a wasteful number, since it uses less digits than its factorization.

4224301116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4224301116 is about 64994.6237468916. The cubic root of 4224301116 is about 1616.5344190164.

The spelling of 4224301116 in words is "four billion, two hundred twenty-four million, three hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 811 826 1051 1239 1622 1652 2102 2433 2478 3153 3244 4204 4866 4956 5677 6306 7357 9732 11354 12612 14714 17031 22071 22708 29428 34062 44142 47849 62009 68124 88284 95698 124018 143547 186027 191396 248036 287094 334943 372054 434063 574188 669886 744108 852361 868126 1004829 1302189 1339772 1704722 1736252 2009658 2557083 2604378 3409444 4019316 5114166 5208756 5966527 10228332 11933054 17899581 23866108 35799162 50289299 71598324 100578598 150867897 201157196 301735794 352025093 603471588 704050186 1056075279 1408100372 2112150558 4224301116