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228378242758336 = 2611795333769987
BaseRepresentation
bin110011111011010101110100…
…000010001011011011000000
31002221121202011101221221102221
4303323111310002023123000
5214413222120121231321
62125415303310420424
766050532516632356
oct6373256402133300
91087552141857387
10228378242758336
116684a73a257260
1221745297501714
139a57c8c02b5b8
1440577ccc957d6
151b60997608e41
hexcfb57408b6c0

228378242758336 has 112 divisors (see below), whose sum is σ = 500739581744640. Its totient is φ = 102474911185920.

The previous prime is 228378242758307. The next prime is 228378242758537. The reversal of 228378242758336 is 633857242873822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296215135 + ... + 296985121.

It is an arithmetic number, because the mean of its divisors is an integer number (4470889122720).

Almost surely, 2228378242758336 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 228378242758336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250369790872320).

228378242758336 is an abundant number, since it is smaller than the sum of its proper divisors (272361338986304).

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

228378242758336 is a wasteful number, since it uses less digits than its factorization.

228378242758336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775422 (or 775412 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 70.

The spelling of 228378242758336 in words is "two hundred twenty-eight trillion, three hundred seventy-eight billion, two hundred forty-two million, seven hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 5056 5333 6952 10666 13904 21332 27808 42664 55616 58663 85328 117326 170656 234652 341312 421307 469304 769987 842614 938608 1539974 1685228 1877216 3079948 3370456 3754432 4634377 6159896 6740912 8469857 9268754 12319792 13481824 16939714 18537508 24639584 26963648 33879428 37075016 49279168 60828973 67758856 74150032 121657946 135517712 148300064 243315892 271035424 296600128 486631784 542070848 669118703 973263568 1338237406 1946527136 2676474812 3893054272 4106340671 5352949624 8212681342 10705899248 16425362684 21411798496 32850725368 42823596992 45169747381 65701450736 90339494762 131402901472 180678989524 262805802944 324400913009 361357979048 648801826018 722715958096 1297603652036 1445431916192 2595207304072 2890863832384 3568410043099 5190414608144 7136820086198 10380829216288 14273640172396 20761658432576 28547280344792 57094560689584 114189121379168 228378242758336