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229461118441 = 2325923532
BaseRepresentation
bin1101010110110011110…
…0101100110111101001
3210221021112120120100021
43111230330230313221
512224414021242231
6253225112040441
722402155216412
oct3255474546751
9727245516307
10229461118441
118934a901575
123857a093121
131883ab67739
14b16ab32809
155e7eb04811
hex356cf2cde9

229461118441 has 27 divisors (see below), whose sum is σ = 244699172599. Its totient is φ = 215153240192.

The previous prime is 229461118429. The next prime is 229461118511. The reversal of 229461118441 is 144811164922.

The square root of 229461118441 is 479021.

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., 93223355625 + 136237762816 = 305325^2 + 369104^2 .

It is not a de Polignac number, because 229461118441 - 223 = 229452729833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229461118141) 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 26 ways as a sum of consecutive naturals, for example, 650031321 + ... + 650031673.

Almost surely, 2229461118441 is an apocalyptic number.

229461118441 is the 479021-st square number.

229461118441 is the 239511-st centered octagonal number.

It is an amenable number.

229461118441 is a deficient number, since it is larger than the sum of its proper divisors (15238054158).

229461118441 is an frugal number, since it uses more digits than its factorization.

229461118441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The spelling of 229461118441 in words is "two hundred twenty-nine billion, four hundred sixty-one million, one hundred eighteen thousand, four hundred forty-one".

Divisors: 1 23 59 353 529 1357 3481 8119 20827 31211 80063 124609 186737 479021 1228793 1841449 2866007 7351931 11017483 28262239 65918161 169094413 433763929 650031497 3889171499 9976570367 229461118441