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230173965 = 32571753811
BaseRepresentation
bin11011011100000…
…10110100001101
3121001010001022200
431232002310031
5432411031330
634501232113
75463306060
oct1556026415
9531101280
10230173965
11108a2211a
1265102639
13388c0518
14227d88d7
1515319a60
hexdb82d0d

230173965 has 96 divisors (see below), whose sum is σ = 492500736. Its totient is φ = 97044480.

The previous prime is 230173963. The next prime is 230173967. The reversal of 230173965 is 569371032.

230173965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230173963) and next prime (230173967).

It is not a de Polignac number, because 230173965 - 21 = 230173963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230173963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283410 + ... + 284220.

It is an arithmetic number, because the mean of its divisors is an integer number (5130216).

Almost surely, 2230173965 is an apocalyptic number.

It is an amenable number.

230173965 is an abundant number, since it is smaller than the sum of its proper divisors (262326771).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230173965 is a wasteful number, since it uses less digits than its factorization.

230173965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 230173965 is about 15171.4852601846. The cubic root of 230173965 is about 612.8470025964.

The spelling of 230173965 in words is "two hundred thirty million, one hundred seventy-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 53 63 85 105 119 153 159 255 265 315 357 371 477 595 765 795 811 901 1071 1113 1785 1855 2385 2433 2703 3339 4055 4505 5355 5565 5677 6307 7299 8109 12165 13515 13787 16695 17031 18921 28385 31535 36495 40545 41361 42983 51093 56763 68935 85155 94605 96509 124083 128949 206805 214915 255465 283815 289527 300881 386847 482545 620415 644745 730711 868581 902643 1447635 1504405 1934235 2192133 2707929 3653555 4342905 4513215 5114977 6576399 10960665 13539645 15344931 25574885 32881995 46034793 76724655 230173965