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228544647552 = 2733135086909
BaseRepresentation
bin1101010011011001010…
…0101001000110000000
3210211220200002000122000
43110312110221012000
512221024412210202
6252554132544000
722340356310544
oct3246624510600
9724820060560
10228544647552
1188a1a54a411
1238363182000
1318723025080
14b0c1129a24
155e2942291c
hex3536529180

228544647552 has 128 divisors (see below), whose sum is σ = 726410748000. Its totient is φ = 70321416192.

The previous prime is 228544647523. The next prime is 228544647553. The reversal of 228544647552 is 255746445822.

228544647552 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 4 + 46 + 47 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228544647553) 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, 2498527 + ... + 2588382.

Almost surely, 2228544647552 is an apocalyptic number.

It is an amenable number.

228544647552 is an abundant number, since it is smaller than the sum of its proper divisors (497866100448).

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

228544647552 is a wasteful number, since it uses less digits than its factorization.

228544647552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086945 (or 5086927 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

It can be divided in two parts, 228544 and 647552, that added together give a square (876096 = 9362).

The spelling of 228544647552 in words is "two hundred twenty-eight billion, five hundred forty-four million, six hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 5086909 10173818 15260727 20347636 30521454 40695272 45782181 61042908 66129817 81390544 91564362 122085816 132259634 137346543 162781088 183128724 198389451 244171632 264519268 274693086 325562176 366257448 396778902 488343264 529038536 549386172 595168353 651124352 732514896 793557804 976686528 1058077072 1098772344 1190336706 1465029792 1587115608 1785505059 1953373056 2116154144 2197544688 2380673412 2930059584 3174231216 3571010118 4232308288 4395089376 4761346824 5860119168 6348462432 7142020236 8464616576 8790178752 9522693648 12696924864 14284040472 17580357504 19045387296 25393849728 28568080944 38090774592 57136161888 76181549184 114272323776 228544647552