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20289022008 = 2335367317751
BaseRepresentation
bin10010111001010100…
…011110100000111000
31221100222101002220120
4102321110132200320
5313022442201013
613153132053240
71315531561443
oct227124364070
957328332816
1020289022008
118671695592
123b22904220
131bb4530988
14da683c65a
157db30c123
hex4b951e838

20289022008 has 128 divisors (see below), whose sum is σ = 52686443520. Its totient is φ = 6507072000.

The previous prime is 20289022001. The next prime is 20289022031. The reversal of 20289022008 is 80022098202.

It is a super-4 number, since 4×202890220084 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20289022008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289022001) 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, 27015633 + ... + 27016383.

It is an arithmetic number, because the mean of its divisors is an integer number (411612840).

Almost surely, 220289022008 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 20289022008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26343221760).

20289022008 is an abundant number, since it is smaller than the sum of its proper divisors (32397421512).

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

20289022008 is a wasteful number, since it uses less digits than its factorization.

20289022008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 20289022008 in words is "twenty billion, two hundred eighty-nine million, twenty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 317 318 402 424 536 634 636 751 804 951 1268 1272 1502 1608 1902 2253 2536 3004 3551 3804 4506 6008 7102 7608 9012 10653 14204 16801 18024 21239 21306 28408 33602 39803 42478 42612 50317 50403 63717 67204 79606 84956 85224 100634 100806 119409 127434 134408 150951 159212 169912 201268 201612 238067 238818 254868 301902 318424 402536 403224 476134 477636 509736 603804 714201 952268 955272 1125667 1207608 1428402 1904536 2251334 2666801 2856804 3377001 4502668 5333602 5713608 6754002 8000403 9005336 10667204 12617551 13508004 15950489 16000806 21334408 25235102 27016008 31900978 32001612 37852653 47851467 50470204 63801956 64003224 75705306 95702934 100940408 127603912 151410612 191405868 302821224 382811736 845375917 1690751834 2536127751 3381503668 5072255502 6763007336 10144511004 20289022008