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20330235800224 = 2574331186317669
BaseRepresentation
bin1001001111101100000000…
…11110111010101010100000
32122222112220002101022212121
410213312000132322222200
510131042310331101344
6111123325325234024
74165545124014310
oct447660036725240
978875802338777
1020330235800224
116529006112589
122344176a02914
13b461962b7a9c
14503dbac69440
15253c81bea684
hex127d807baaa0

20330235800224 has 96 divisors (see below), whose sum is σ = 45855132583680. Its totient is φ = 8691611185152.

The previous prime is 20330235800219. The next prime is 20330235800227. The reversal of 20330235800224 is 42200853203302.

It is a self number, because there is not a number n which added to its sum of digits gives 20330235800224.

It is not an unprimeable number, because it can be changed into a prime (20330235800227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150607262 + ... + 1150624930.

It is an arithmetic number, because the mean of its divisors is an integer number (477657631080).

Almost surely, 220330235800224 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 20330235800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927566291840).

20330235800224 is an abundant number, since it is smaller than the sum of its proper divisors (25524896783456).

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

20330235800224 is a wasteful number, since it uses less digits than its factorization.

20330235800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29982 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 20330235800224 in words is "twenty trillion, three hundred thirty billion, two hundred thirty-five million, eight hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 1732 3031 3464 6062 6928 11863 12124 13856 17669 23726 24248 35338 47452 48496 70676 83041 94904 96992 123683 141352 166082 189808 247366 282704 332164 379616 494732 565408 664328 989464 1328656 1978928 2657312 3957856 5136679 7650677 10273358 15301354 20546716 30602708 35956753 41093432 53554739 61205416 71913506 82186864 107109478 122410832 143827012 164373728 209607347 214218956 244821664 287654024 419214694 428437912 575308048 838429388 856875824 1150616096 1467251429 1676858776 1713751648 2934502858 3353717552 5869005716 6707435104 11738011432 23476022864 46952045728 90759981251 181519962502 363039925004 635319868757 726079850008 1270639737514 1452159700016 2541279475028 2904319400032 5082558950056 10165117900112 20330235800224