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2230244220224 = 267312717321727
BaseRepresentation
bin100000011101000100111…
…010100001110101000000
321220012122112222010000002
4200131010322201311000
5243020020010021344
64424320545415132
7320062350041156
oct40350472416500
97805575863002
102230244220224
1178a9287a1309
123002a033a4a8
13132407716337
1479d315cd3d6
153d03171c44e
hex20744ea1d40

2230244220224 has 112 divisors (see below), whose sum is σ = 4547936698368. Its totient is φ = 1084828889088.

The previous prime is 2230244220209. The next prime is 2230244220227. The reversal of 2230244220224 is 4220224420322.

It is a super-2 number, since 2×22302442202242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230244220227) 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, 102637649 + ... + 102659375.

It is an arithmetic number, because the mean of its divisors is an integer number (40606577664).

Almost surely, 22230244220224 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 2230244220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273968349184).

2230244220224 is an abundant number, since it is smaller than the sum of its proper divisors (2317692478144).

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

2230244220224 is a wasteful number, since it uses less digits than its factorization.

2230244220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22112 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 2230244220224 its reverse (4220224420322), we get a palindrome (6450468640546).

The spelling of 2230244220224 in words is "two trillion, two hundred thirty billion, two hundred forty-four million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 127 146 173 254 292 346 508 584 692 1016 1168 1384 2032 2336 2768 4064 4672 5536 8128 9271 11072 12629 18542 21727 21971 25258 37084 43454 43942 50516 74168 86908 87884 101032 148336 173816 175768 202064 296672 347632 351536 404128 593344 695264 703072 808256 1390528 1406144 1586071 1603883 2759329 3172142 3207766 3758771 5518658 6344284 6415532 7517542 11037316 12688568 12831064 15035084 22074632 25377136 25662128 30070168 44149264 50754272 51324256 60140336 88298528 101508544 102648512 120280672 176597056 201431017 240561344 274390283 402862034 477363917 548780566 805724068 954727834 1097561132 1611448136 1909455668 2195122264 3222896272 3818911336 4390244528 6445792544 7637822672 8780489056 12891585088 15275645344 17560978112 30551290688 34847565941 69695131882 139390263764 278780527528 557561055056 1115122110112 2230244220224