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20424220404 = 22371015994019
BaseRepresentation
bin10011000001011000…
…001101111011110100
31221201101202220020120
4103001120031323310
5313312100023104
613214401531540
71322063003040
oct230130157364
957641686216
1020424220404
118730a380a5
123b60043bb0
131c06549623
14dba793020
157e8115cd9
hex4c160def4

20424220404 has 96 divisors (see below), whose sum is σ = 55109376000. Its totient is φ = 5766633600.

The previous prime is 20424220387. The next prime is 20424220459. The reversal of 20424220404 is 40402242402.

It is a super-2 number, since 2×204242204042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5079907 + ... + 5083925.

It is an arithmetic number, because the mean of its divisors is an integer number (574056000).

Almost surely, 220424220404 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 20424220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554688000).

20424220404 is an abundant number, since it is smaller than the sum of its proper divisors (34685155596).

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

20424220404 is a wasteful number, since it uses less digits than its factorization.

20424220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20424220404 its reverse (40402242402), we get a palindrome (60826462806).

The spelling of 20424220404 in words is "twenty billion, four hundred twenty-four million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 599 606 707 1198 1212 1414 1797 2121 2396 2828 3594 4019 4193 4242 7188 8038 8386 8484 12057 12579 16076 16772 24114 25158 28133 48228 50316 56266 60499 84399 112532 120998 168798 181497 241996 337596 362994 405919 423493 725988 811838 846986 1217757 1270479 1623676 1693972 2407381 2435514 2540958 2841433 4814762 4871028 5081916 5682866 7222143 8524299 9629524 11365732 14444286 16851667 17048598 28888572 33703334 34097196 50555001 67406668 101110002 202220004 243145481 486290962 729436443 972581924 1458872886 1702018367 2917745772 3404036734 5106055101 6808073468 10212110202 20424220404