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229639442591881 = 726727924092
BaseRepresentation
bin110100001101101100011001…
…011001101111000010001001
31010010002022112120221201101001
4310031230121121233002021
5220044403034300420011
62132222523100055001
766240621314426200
oct6415543131570211
91103068476851331
10229639442591881
11671965a4723083
12219097b4834461
139b19ba2809c5a
14409c87335c237
151b836b004d7c1
hexd0db1966f089

229639442591881 has 81 divisors (see below), whose sum is σ = 275327397182439. Its totient is φ = 190973537891136.

The previous prime is 229639442591879. The next prime is 229639442591899. The reversal of 229639442591881 is 188195244936922.

It is a happy number.

The square root of 229639442591881 is 15153859.

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

It can be written as a sum of positive squares in only one way, i.e., 209871459537481 + 19767983054400 = 14486941^2 + 4446120^2 .

It is not a de Polignac number, because 229639442591881 - 21 = 229639442591879 is a prime.

It is a super-2 number, since 2×2296394425918812 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229639442591821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 561465629605 + ... + 561465630013.

It is an arithmetic number, because the mean of its divisors is an integer number (3399103668919).

Almost surely, 2229639442591881 is an apocalyptic number.

229639442591881 is the 15153859-th square number.

229639442591881 is the 7576930-th centered octagonal number.

It is an amenable number.

229639442591881 is a deficient number, since it is larger than the sum of its proper divisors (45687954590558).

229639442591881 is an frugal number, since it uses more digits than its factorization.

229639442591881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 73.

The spelling of 229639442591881 in words is "two hundred twenty-nine trillion, six hundred thirty-nine billion, four hundred forty-two million, five hundred ninety-one thousand, eight hundred eighty-one".

Divisors: 1 7 49 67 79 409 469 553 2863 3283 3871 4489 5293 6241 20041 27403 31423 32311 37051 43687 167281 191821 219961 226177 259357 305809 354631 418147 1170967 1342747 1583239 1836001 2164837 2482417 2552569 2927029 8196769 11207827 12852007 13215199 15153859 17376919 17867983 20489203 28015849 78454789 89964049 92506393 106077013 125075881 145044079 171022123 196110943 549183523 647544751 750924409 885418333 1015308553 1044000721 1197154861 1372776601 5256470863 6197928331 7107159871 7308005047 8380084027 11458482241 36795296041 43385498317 51156035329 59323028311 69948048307 80209375687 415261198177 489636338149 561465629809 2906828387239 3427454367043 4686519236569 32805634655983 229639442591881