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228552900608 = 2151921392
BaseRepresentation
bin1101010011011011010…
…0001000000000000000
3210211221020121022200202
43110312310020000000
512221034020304413
6252555025504332
722340516413124
oct3246664100000
9724836538622
10228552900608
1188a2417701a
1238365aa20a8
1318724954736
14b0c2277584
155e2a002e58
hex3536d08000

228552900608 has 144 divisors (see below), whose sum is σ = 485918497935. Its totient is φ = 107483037696.

The previous prime is 228552900557. The next prime is 228552900617. The reversal of 228552900608 is 806009255822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114276450304 + 114276450304 = 338048^2 + 338048^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338048.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1644265403 + ... + 1644265541.

Almost surely, 2228552900608 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 228552900608

228552900608 is an abundant number, since it is smaller than the sum of its proper divisors (257365597327).

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

228552900608 is an frugal number, since it uses more digits than its factorization.

228552900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 228552900608 in words is "two hundred twenty-eight billion, five hundred fifty-two million, nine hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 139 152 256 278 304 361 512 556 608 722 1024 1112 1216 1444 2048 2224 2432 2641 2888 4096 4448 4864 5282 5776 8192 8896 9728 10564 11552 16384 17792 19321 19456 21128 23104 32768 35584 38642 38912 42256 46208 50179 71168 77284 77824 84512 92416 100358 142336 154568 155648 169024 184832 200716 284672 309136 311296 338048 367099 369664 401432 569344 618272 622592 676096 734198 739328 802864 1138688 1236544 1352192 1468396 1478656 1605728 2277376 2473088 2704384 2936792 2957312 3211456 4554752 4946176 5408768 5873584 5914624 6422912 6974881 9892352 10817536 11747168 11829248 12845824 13949762 19784704 21635072 23494336 25691648 27899524 39569408 43270144 46988672 51383296 55799048 79138816 86540288 93977344 102766592 111598096 158277632 187954688 205533184 223196192 316555264 375909376 411066368 446392384 633110528 751818752 822132736 892784768 1503637504 1644265472 1785569536 3007275008 3571139072 6014550016 7142278144 12029100032 14284556288 28569112576 57138225152 114276450304 228552900608