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2002202241888 = 253171931635339
BaseRepresentation
bin11101001000101100100…
…011011010101101100000
321002102000220202022220110
4131020230203122231200
5230301002233220023
64131444330411320
7264440303152242
oct35105443325540
97072026668813
102002202241888
11702146a71802
12284059590b40
13116a6489c294
146cc9b152092
15371364dda93
hex1d22c8dab60

2002202241888 has 96 divisors (see below), whose sum is σ = 5567835127680. Its totient is φ = 627815598080.

The previous prime is 2002202241887. The next prime is 2002202241889. The reversal of 2002202241888 is 8881422022002.

It is an interprime number because it is at equal distance from previous prime (2002202241887) and next prime (2002202241889).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002202241887) 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 15 ways as a sum of consecutive naturals, for example, 2833723 + ... + 3469061.

It is an arithmetic number, because the mean of its divisors is an integer number (57998282580).

Almost surely, 22002202241888 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 2002202241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783917563840).

2002202241888 is an abundant number, since it is smaller than the sum of its proper divisors (3565632885792).

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

2002202241888 is a wasteful number, since it uses less digits than its factorization.

2002202241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637300 (or 637292 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 2002202241888 in words is "two trillion, two billion, two hundred two million, two hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1931 3862 5793 7724 11586 15448 23172 30896 32827 46344 61792 65654 92688 98481 131308 185376 196962 262616 393924 525232 635339 787848 1050464 1270678 1575696 1906017 2541356 3151392 3812034 5082712 7624068 10165424 10800763 15248136 20330848 21601526 30496272 32402289 43203052 60992544 64804578 86406104 129609156 172812208 259218312 345624416 518436624 1036873248 1226839609 2453679218 3680518827 4907358436 7361037654 9814716872 14722075308 19629433744 20856273353 29444150616 39258867488 41712546706 58888301232 62568820059 83425093412 117776602464 125137640118 166850186824 250275280236 333700373648 500550560472 667400747296 1001101120944 2002202241888