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2104432242 = 2311223193653
BaseRepresentation
bin111110101101111…
…0001011001110010
312102122212020022220
41331123301121302
513302213312432
6544453141510
7103102243653
oct17533613162
95378766286
102104432242
1198a996100
124a892a896
13276cb03a3
1415d6c152a
15c4b4072c
hex7d6f1672

2104432242 has 96 divisors (see below), whose sum is σ = 4859858304. Its totient is φ = 605890560.

The previous prime is 2104432223. The next prime is 2104432249. The reversal of 2104432242 is 2422344012.

It is a super-2 number, since 2×21044322422 = 8857270122338293128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2104432249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3222388 + ... + 3223040.

It is an arithmetic number, because the mean of its divisors is an integer number (50623524).

Almost surely, 22104432242 is an apocalyptic number.

2104432242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429929152).

2104432242 is an abundant number, since it is smaller than the sum of its proper divisors (2755426062).

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

2104432242 is a wasteful number, since it uses less digits than its factorization.

2104432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2104432242 is about 45874.0911844584. The cubic root of 2104432242 is about 1281.4794583702.

Adding to 2104432242 its reverse (2422344012), we get a palindrome (4526776254).

The spelling of 2104432242 in words is "two billion, one hundred four million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 193 242 253 363 386 506 579 653 726 759 1158 1306 1518 1959 2123 2783 3918 4246 4439 5566 6369 7183 8349 8878 12738 13317 14366 15019 16698 21549 23353 26634 30038 43098 45057 46706 48829 70059 79013 90114 97658 126029 140118 146487 158026 165209 237039 252058 292974 330418 378087 474078 495627 537119 756174 991254 1074238 1386319 1611357 1817299 2772638 2898667 3222714 3634598 4158957 5451897 5797334 8317914 8696001 10903794 15249509 17392002 30499018 31885337 45748527 63770674 91497054 95656011 191312022 350738707 701477414 1052216121 2104432242