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20404222104 = 233733137919
BaseRepresentation
bin10011000000001011…
…111011100010011000
31221200000010212201210
4103000023323202120
5313241440101404
613212405143120
71321431012000
oct230013734230
957600125653
1020404222104
118720719082
123b553baaa0
131c02366c06
14db7c69000
157e64b5689
hex4c02fb898

20404222104 has 128 divisors (see below), whose sum is σ = 59685120000. Its totient is φ = 5810418432.

The previous prime is 20404222087. The next prime is 20404222109. The reversal of 20404222104 is 40122240402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404222109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572657 + ... + 2580575.

It is an arithmetic number, because the mean of its divisors is an integer number (466290000).

Almost surely, 220404222104 is an apocalyptic number.

20404222104 is a gapful number since it is divisible by the number (24) 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 20404222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29842560000).

20404222104 is an abundant number, since it is smaller than the sum of its proper divisors (39280897896).

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

20404222104 is a wasteful number, since it uses less digits than its factorization.

20404222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20404222104 its reverse (40122240402), we get a palindrome (60526462506).

The spelling of 20404222104 in words is "twenty billion, four hundred four million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 313 343 392 588 626 686 939 1029 1176 1252 1372 1878 2058 2191 2504 2744 3756 4116 4382 6573 7512 7919 8232 8764 13146 15337 15838 17528 23757 26292 30674 31676 46011 47514 52584 55433 61348 63352 92022 95028 107359 110866 122696 166299 184044 190056 214718 221732 322077 332598 368088 388031 429436 443464 644154 665196 776062 858872 1164093 1288308 1330392 1552124 2328186 2478647 2576616 2716217 3104248 4656372 4957294 5432434 7435941 8148651 9312744 9914588 10864868 14871882 16297302 17350529 19829176 21729736 29743764 32594604 34701058 52051587 59487528 65189208 69402116 104103174 121453703 138804232 208206348 242907406 364361109 416412696 485814812 728722218 850175921 971629624 1457444436 1700351842 2550527763 2914888872 3400703684 5101055526 6801407368 10202111052 20404222104