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227823881481 = 32741721912
BaseRepresentation
bin1101010000101101011…
…1001000110100001001
3210210001102211022110100
43110023113020310021
512213040403201411
6252354424240013
722313455020000
oct3241327106411
9723042738410
10227823881481
118868a707179
12381a1910009
13186398c4981
14b053507c37
155dd5eec456
hex350b5c8d09

227823881481 has 135 divisors (see below), whose sum is σ = 409959802343. Its totient is φ = 121885626240.

The previous prime is 227823881471. The next prime is 227823881489. The reversal of 227823881481 is 184188328722.

The square root of 227823881481 is 477309.

It is a perfect power (a square), and thus also a powerful number.

227823881481 is a `hidden beast` number, since 2 + 2 + 7 + 82 + 3 + 8 + 81 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177371534025 + 50452347456 = 421155^2 + 224616^2 .

It is not a de Polignac number, because 227823881481 - 25 = 227823881449 is a prime.

It is a super-2 number, since 2×2278238814812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (227823881489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1192795096 + ... + 1192795286.

Almost surely, 2227823881481 is an apocalyptic number.

227823881481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

227823881481 is the 477309-th square number.

227823881481 is the 238655-th centered octagonal number.

It is an amenable number.

227823881481 is a deficient number, since it is larger than the sum of its proper divisors (182135920862).

227823881481 is an frugal number, since it uses more digits than its factorization.

227823881481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 218 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The spelling of 227823881481 in words is "two hundred twenty-seven billion, eight hundred twenty-three million, eight hundred eighty-one thousand, four hundred eighty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 191 289 343 357 441 573 833 867 1029 1071 1337 1719 2023 2401 2499 2601 3087 3247 4011 5831 6069 7203 7497 9359 9741 12033 14161 17493 18207 21609 22729 28077 29223 36481 40817 42483 52479 55199 65513 68187 84231 99127 109443 122451 127449 159103 165597 196539 204561 255367 297381 328329 367353 386393 458591 477309 496791 589617 620177 693889 766101 892143 1113721 1159179 1375773 1431927 1787569 1860531 2081667 2298303 2704751 3341163 3477537 4127319 4341239 5362707 5581593 6245001 7796047 8114253 10023489 10543009 12512983 13023717 16088121 18933257 23388141 24342759 30388673 31629027 37538949 39071151 56799771 70164423 73801063 87590881 91166019 94887081 112616847 132532799 170399313 212720711 221403189 262772643 273498057 397598397 516607441 638162133 664209567 788317929 1192795191 1489044977 1549822323 1914486399 3616252087 4467134931 4649466969 10848756261 13401404793 25313764609 32546268783 75941293827 227823881481