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230165145 = 3457194273
BaseRepresentation
bin11011011100000…
…00101010011001
3121001002121020000
431232000222121
5432410241040
634501123213
75463241260
oct1556005231
9531077200
10230165145
11108a16531
12650b9509
13388b94c2
14227d55d7
1515317130
hexdb80a99

230165145 has 80 divisors (see below), whose sum is σ = 496467840. Its totient is φ = 99657216.

The previous prime is 230165137. The next prime is 230165149. The reversal of 230165145 is 541561032.

230165145 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 651 + 4 + 5 = 666.

It is not a de Polignac number, because 230165145 - 23 = 230165137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230165149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51729 + ... + 56001.

It is an arithmetic number, because the mean of its divisors is an integer number (6205848).

Almost surely, 2230165145 is an apocalyptic number.

It is an amenable number.

230165145 is an abundant number, since it is smaller than the sum of its proper divisors (266302695).

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

230165145 is a wasteful number, since it uses less digits than its factorization.

230165145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 230165145 is about 15171.1945805200. The cubic root of 230165145 is about 612.8391746337.

The spelling of 230165145 in words is "two hundred thirty million, one hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 285 315 399 405 513 567 665 855 945 1197 1539 1995 2565 2835 3591 4273 5985 7695 10773 12819 17955 21365 29911 38457 53865 64095 81187 89733 115371 149555 192285 243561 269199 346113 405935 448665 568309 576855 730683 807597 1217805 1345995 1704927 1730565 2192049 2422791 2841545 3653415 4037985 5114781 6576147 8524635 10960245 12113955 15344343 25573905 32880735 46033029 76721715 230165145