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230917730521 = 17223212292
BaseRepresentation
bin1101011100001111000…
…1001111000011011001
3211002001001110010110211
43113003301033003121
512240404414334041
6254025424211121
722453233216022
oct3270361170331
9732031403424
10230917730521
1189a28047805
1238905a69aa1
1318a1087808a
14b26837dc49
15601792d481
hex35c3c4f0d9

230917730521 has 27 divisors (see below), whose sum is σ = 256637897341. Its totient is φ = 207715865984.

The previous prime is 230917730509. The next prime is 230917730531. The reversal of 230917730521 is 125037719032.

The square root of 230917730521 is 480539.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156408385225 + 74509345296 = 395485^2 + 272964^2 .

It is not a de Polignac number, because 230917730521 - 25 = 230917730489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230917730531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187890135 + ... + 187891363.

Almost surely, 2230917730521 is an apocalyptic number.

230917730521 is the 480539-th square number.

230917730521 is the 240270-th centered octagonal number.

It is an amenable number.

230917730521 is a deficient number, since it is larger than the sum of its proper divisors (25720166820).

230917730521 is an frugal number, since it uses more digits than its factorization.

230917730521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 230917730521 in words is "two hundred thirty billion, nine hundred seventeen million, seven hundred thirty thousand, five hundred twenty-one".

Divisors: 1 17 23 289 391 529 1229 6647 8993 20893 28267 152881 355181 480539 650141 1510441 8169163 11052397 25677497 34740143 187890749 436517449 590582431 799023289 10039901327 13583395913 230917730521