Search a number
-
+
234460292521 = 721321723132
BaseRepresentation
bin1101101001011011101…
…1000010010110101001
3211102011221101220221211
43122112323002112221
512320133313330041
6255413133433121
722640100414100
oct3322673022651
9742157356854
10234460292521
11904857a4aa4
123953433b7a1
1319156797400
14b4c2a5b037
156173946481
hex3696ec25a9

234460292521 has 81 divisors (see below), whose sum is σ = 314733321711. Its totient is φ = 174037054464.

The previous prime is 234460292513. The next prime is 234460292569. The reversal of 234460292521 is 125292064432.

The square root of 234460292521 is 484211.

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

It can be written as a sum of positive squares in 13 ways, for example, as 234406064025 + 54228496 = 484155^2 + 7364^2 .

It is not a de Polignac number, because 234460292521 - 23 = 234460292513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234460292321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 749074261 + ... + 749074573.

Almost surely, 2234460292521 is an apocalyptic number.

234460292521 is the 484211-st square number.

234460292521 is the 242106-th centered octagonal number.

It is an amenable number.

234460292521 is a deficient number, since it is larger than the sum of its proper divisors (80273029190).

234460292521 is an equidigital number, since it uses as much as digits as its factorization.

234460292521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 234460292521 in words is "two hundred thirty-four billion, four hundred sixty million, two hundred ninety-two thousand, five hundred twenty-one".

Divisors: 1 7 13 17 49 91 119 169 221 289 313 637 833 1183 1547 2023 2191 2873 3757 4069 5321 8281 10829 14161 15337 20111 26299 28483 37247 48841 52897 69173 90457 97969 140777 184093 199381 260729 341887 370279 484211 633199 685783 899249 1175941 1273597 1665473 2393209 2591953 3389477 4432393 4800481 6294743 8231587 8915179 11658311 15287233 16556761 21651149 28313041 44063201 57621109 62406253 81608177 107010631 115897327 151558043 198191287 281464937 368069533 749074417 811281289 1060906301 1387339009 1970254559 2576486731 4784903929 13791781913 18035407117 33494327503 234460292521