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2228260422304 = 257217318014561
BaseRepresentation
bin100000011011001110101…
…010111100001010100000
321220000112022002201212001
4200123032222330022200
5243001434132003204
64423352042013344
7316662241036600
oct40331652741240
97800468081761
102228260422304
11789aaaa105a4
122bba27aa7254
1313217c722807
1479bc3d50c00
153ce674aa4a4
hex206ceabc2a0

2228260422304 has 144 divisors (see below), whose sum is σ = 5136587859816. Its totient is φ = 948713472000.

The previous prime is 2228260422247. The next prime is 2228260422319. The reversal of 2228260422304 is 4032240628222.

It can be written as a sum of positive squares in 4 ways, for example, as 1815001728400 + 413258693904 = 1347220^2 + 642852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488544184 + ... + 488548744.

Almost surely, 22228260422304 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 2228260422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568293929908).

2228260422304 is an abundant number, since it is smaller than the sum of its proper divisors (2908327437512).

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

2228260422304 is a wasteful number, since it uses less digits than its factorization.

2228260422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 2228260422304 in words is "two trillion, two hundred twenty-eight billion, two hundred sixty million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 173 196 224 346 392 692 784 1211 1384 1568 1801 2422 2768 3602 4561 4844 5536 7204 8477 9122 9688 12607 14408 16954 18244 19376 25214 28816 31927 33908 36488 38752 50428 57632 63854 67816 72976 88249 100856 127708 135632 145952 176498 201712 223489 255416 271264 311573 352996 403424 446978 510832 623146 705992 789053 893956 1021664 1246292 1411984 1578106 1787912 2181011 2492584 2823968 3156212 3575824 4362022 4985168 5523371 6312424 7151648 8214361 8724044 9970336 11046742 12624848 15267077 16428722 17448088 22093484 25249696 30534154 32857444 34896176 38663597 44186968 57500527 61068308 65714888 69792352 77327194 88373936 115001054 122136616 131429776 154654388 176747872 230002108 244273232 262859552 309308776 402503689 460004216 488546464 618617552 805007378 920008432 1237235104 1421084453 1610014756 1840016864 2842168906 3220029512 5684337812 6440059024 9947591171 11368675624 12880118048 19895182342 22737351248 39790364684 45474702496 69633138197 79580729368 139266276394 159161458736 278532552788 318322917472 557065105576 1114130211152 2228260422304