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228171741512 = 2311213211812
BaseRepresentation
bin1101010010000000011…
…0000111100101001000
3210210221200101102201012
43110200012013211020
512214243431212022
6252453132143052
722325210542121
oct3244006074510
9723850342635
10228171741512
1188848aaa600
123827a307a88
13186939abb00
14b0877b9048
155e06811de2
hex3520187948

228171741512 has 108 divisors (see below), whose sum is σ = 509637850155. Its totient is φ = 95655331200.

The previous prime is 228171741433. The next prime is 228171741521. The reversal of 228171741512 is 215147171822.

It is a happy number.

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.

228171741512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 137369561956 + 90802179556 = 370634^2 + 301334^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337766.

It is a super-2 number, since 2×2281717415122 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228171741512.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193201562 + ... + 193202742.

Almost surely, 2228171741512 is an apocalyptic number.

228171741512 is a gapful number since it is divisible by the number (22) 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 228171741512

228171741512 is an abundant number, since it is smaller than the sum of its proper divisors (281466108643).

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

228171741512 is a wasteful number, since it uses less digits than its factorization.

228171741512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1207 counting only the distinct ones).

The product of its digits is 62720, while the sum is 41.

The spelling of 228171741512 in words is "two hundred twenty-eight billion, one hundred seventy-one million, seven hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1181 1352 1573 1859 2362 3146 3718 4724 6292 7436 9448 12584 12991 14872 15353 20449 25982 30706 40898 51964 61412 81796 103928 122824 142901 163592 168883 199589 285802 337766 399178 571604 675532 798356 1143208 1351064 1394761 1596712 1857713 2195479 2789522 3715426 4390958 5579044 7430852 8781916 11158088 14861704 15342371 17563832 18131893 24150269 30684742 36263786 48300538 61369484 72527572 96601076 122738968 145055144 168766081 193202152 199450823 235714609 337532162 398901646 471429218 675064324 797803292 942858436 1350128648 1595606584 1885716872 2193959053 2592860699 4387918106 5185721398 8775836212 10371442796 17551672424 20742885592 28521467689 57042935378 114085870756 228171741512