Search a number
-
+
234685020249 = 3419228332
BaseRepresentation
bin1101101010010001010…
…0010011100001011001
3211102202121021021110000
43122210110103201121
512321113331121444
6255451322243213
722645466521011
oct3324424234131
9742677237400
10234685020249
1190590637299
1239597656509
13191911cb9b4
14b504838c41
156188537469
hex36a4513859

234685020249 has 45 divisors (see below), whose sum is σ = 370132159023. Its totient is φ = 148169798208.

The previous prime is 234685020239. The next prime is 234685020263. The reversal of 234685020249 is 942020586432.

The square root of 234685020249 is 484443.

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., 92127425625 + 142557594624 = 303525^2 + 377568^2 .

It is not a de Polignac number, because 234685020249 - 211 = 234685018201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234685020209) 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 44 ways as a sum of consecutive naturals, for example, 82838337 + ... + 82841169.

Almost surely, 2234685020249 is an apocalyptic number.

234685020249 is the 484443-rd square number.

234685020249 is the 242222-nd centered octagonal number.

It is an amenable number.

234685020249 is a deficient number, since it is larger than the sum of its proper divisors (135447138774).

234685020249 is an frugal number, since it uses more digits than its factorization.

234685020249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 234685020249 in words is "two hundred thirty-four billion, six hundred eighty-five million, twenty thousand, two hundred forty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 2833 3249 8499 9747 25497 29241 53827 76491 161481 229473 484443 1022713 1453329 3068139 4359987 8025889 9204417 24077667 27613251 72233001 82839753 152491891 216699003 457475673 650097009 1372427019 2897345929 4117281057 8692037787 12351843171 26076113361 78228340083 234685020249