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230492817 = 33172109271
BaseRepresentation
bin11011011110100…
…00101010010001
3121001201020201000
431233100222101
5433001232232
634512132213
75466104502
oct1557205221
9531636630
10230492817
1110911a735
1265237069
13389a26a9
142287cba9
151537e27c
hexdbd0a91

230492817 has 48 divisors (see below), whose sum is σ = 367417600. Its totient is φ = 142767360.

The previous prime is 230492809. The next prime is 230492827. The reversal of 230492817 is 718294032.

230492817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230492817 - 23 = 230492809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230492827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850392 + ... + 850662.

Almost surely, 2230492817 is an apocalyptic number.

230492817 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

230492817 is a deficient number, since it is larger than the sum of its proper divisors (136924783).

230492817 is a wasteful number, since it uses less digits than its factorization.

230492817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 230492817 is about 15181.9898893393. The cubic root of 230492817 is about 613.1298572500.

The spelling of 230492817 in words is "two hundred thirty million, four hundred ninety-two thousand, eight hundred seventeen".

Divisors: 1 3 9 17 27 51 109 153 271 289 327 459 813 867 981 1853 2439 2601 2943 4607 5559 7317 7803 13821 16677 29539 31501 41463 50031 78319 88617 94503 124389 234957 265851 283509 502163 704871 797553 850527 1506489 2114613 4519467 8536771 13558401 25610313 76830939 230492817