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104222104 = 23717831319
BaseRepresentation
bin1100011011001…
…00110110011000
321021010000211221
412031210312120
5203140101404
614201501424
72403605350
oct615446630
9237100757
10104222104
1153915678
122aaa1874
13187914ac
14dbadb60
15923a954
hex6364d98

104222104 has 64 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 41501184.

The previous prime is 104222101. The next prime is 104222117. The reversal of 104222104 is 401222401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78357 + ... + 79675.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2104222104 is an apocalyptic number.

104222104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

104222104 is an abundant number, since it is smaller than the sum of its proper divisors (135278696).

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

104222104 is a wasteful number, since it uses less digits than its factorization.

104222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 104222104 is about 10208.9227639355. The cubic root of 104222104 is about 470.6014692822.

Adding to 104222104 its reverse (401222401), we get a palindrome (505444505).

The spelling of 104222104 in words is "one hundred four million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 83 119 136 166 238 332 476 581 664 952 1162 1319 1411 2324 2638 2822 4648 5276 5644 9233 9877 10552 11288 18466 19754 22423 36932 39508 44846 73864 79016 89692 109477 156961 179384 218954 313922 437908 627844 766339 875816 1255688 1532678 1861109 3065356 3722218 6130712 7444436 13027763 14888872 26055526 52111052 104222104