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2422234034304 = 27371373656321
BaseRepresentation
bin100011001111111000011…
…001100011000010000000
322120120012122200012010220
4203033320121203002000
5304141213403044204
65052431533423040
7340000134402360
oct43177031430200
98516178605126
102422234034304
11854299a68247
1233154133aa80
13147553367016
14853459149a0
154301b8331d9
hex233f8663080

2422234034304 has 128 divisors (see below), whose sum is σ = 7358577252480. Its totient is φ = 691561758720.

The previous prime is 2422234034299. The next prime is 2422234034351. The reversal of 2422234034304 is 4034304322242.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362464 + ... + 4018784.

It is an arithmetic number, because the mean of its divisors is an integer number (57488884785).

Almost surely, 22422234034304 is an apocalyptic number.

2422234034304 is a gapful number since it is divisible by the number (24) 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 2422234034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679288626240).

2422234034304 is an abundant number, since it is smaller than the sum of its proper divisors (4936343218176).

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

2422234034304 is a wasteful number, since it uses less digits than its factorization.

2422234034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657718 (or 657706 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 2422234034304 its reverse (4034304322242), we get a palindrome (6456538356546).

The spelling of 2422234034304 in words is "two trillion, four hundred twenty-two billion, two hundred thirty-four million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1373 2688 2746 4119 5492 8238 9611 10984 16476 19222 21968 28833 32952 38444 43936 57666 65904 76888 87872 115332 131808 153776 175744 230664 263616 307552 461328 527232 615104 656321 922656 1230208 1312642 1845312 1968963 2625284 3690624 3937926 4594247 5250568 7875852 9188494 10501136 13782741 15751704 18376988 21002272 27565482 31503408 36753976 42004544 55130964 63006816 73507952 84009088 110261928 126013632 147015904 220523856 252027264 294031808 441047712 588063616 882095424 901128733 1764190848 1802257466 2703386199 3604514932 5406772398 6307901131 7209029864 10813544796 12615802262 14418059728 18923703393 21627089592 25231604524 28836119456 37847406786 43254179184 50463209048 57672238912 75694813572 86508358368 100926418096 115344477824 151389627144 173016716736 201852836192 302779254288 346033433472 403705672384 605558508576 807411344768 1211117017152 2422234034304