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230664357 = 32711230259
BaseRepresentation
bin11011011111110…
…10100010100101
3121002000222000100
431233322202211
5433022224412
634515534313
75500420560
oct1557724245
9532028010
10230664357
11109227600
12652ba399
1338a327b1
14228c54d7
15153b4edc
hexdbfa8a5

230664357 has 36 divisors (see below), whose sum is σ = 418556320. Its totient is φ = 119821680.

The previous prime is 230664353. The next prime is 230664361. The reversal of 230664357 is 753466032.

230664357 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 643 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (230664353) and next prime (230664361).

It is not a de Polignac number, because 230664357 - 22 = 230664353 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230664353) 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 35 ways as a sum of consecutive naturals, for example, 7507 + ... + 22752.

Almost surely, 2230664357 is an apocalyptic number.

It is an amenable number.

230664357 is a deficient number, since it is larger than the sum of its proper divisors (187891963).

230664357 is a wasteful number, since it uses less digits than its factorization.

230664357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30294 (or 30280 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 230664357 is about 15187.6382956666. The cubic root of 230664357 is about 613.2819230367.

The spelling of 230664357 in words is "two hundred thirty million, six hundred sixty-four thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 30259 90777 211813 272331 332849 635439 998547 1906317 2329943 2995641 3661339 6989829 10984017 20969487 25629373 32952051 76888119 230664357