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24444220020 = 223511163227219
BaseRepresentation
bin10110110000111111…
…010011001001110100
32100002120010001000020
4112300333103021310
5400030210020040
615121324245140
71523515304403
oct266077231164
970076101006
1024444220020
11a404141330
1248a23a07b0
1323c735121c
14127c63163a
15980edbcd0
hex5b0fd3274

24444220020 has 96 divisors (see below), whose sum is σ = 75124385280. Its totient is φ = 5889490560.

The previous prime is 24444220001. The next prime is 24444220027. The reversal of 24444220020 is 2002244442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24444220027) 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 31 ways as a sum of consecutive naturals, for example, 6030 + ... + 221189.

It is an arithmetic number, because the mean of its divisors is an integer number (782545680).

Almost surely, 224444220020 is an apocalyptic number.

24444220020 is a gapful number since it is divisible by the number (20) 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 24444220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562192640).

24444220020 is an abundant number, since it is smaller than the sum of its proper divisors (50680165260).

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

24444220020 is a wasteful number, since it uses less digits than its factorization.

24444220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227405 (or 227403 counting only the distinct ones).

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

Adding to 24444220020 its reverse (2002244442), we get a palindrome (26446464462).

It can be divided in two parts, 244442 and 20020, that added together give a palindrome (264462).

The spelling of 24444220020 in words is "twenty-four billion, four hundred forty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 2445 3260 3586 4890 5379 7172 8965 9780 10758 17930 21516 26895 35860 53790 107580 227219 454438 681657 908876 1136095 1363314 2272190 2499409 2726628 3408285 4544380 4998818 6816570 7498227 9997636 12497045 13633140 14996454 24994090 29992908 37036697 37491135 49988180 74073394 74982270 111110091 148146788 149964540 185183485 222220182 370366970 407403667 444440364 555550455 740733940 814807334 1111100910 1222211001 1629614668 2037018335 2222201820 2444422002 4074036670 4888844004 6111055005 8148073340 12222110010 24444220020