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230144664 = 23376112601
BaseRepresentation
bin11011011011110…
…11101010011000
3121001001120010110
431231323222120
5432404112124
634500444320
75463124461
oct1555735230
9531046113
10230144664
11108a02102
12650a96a0
13388b0099
14227cbd68
1515311029
hexdb7ba98

230144664 has 32 divisors (see below), whose sum is σ = 576163440. Its totient is φ = 76608000.

The previous prime is 230144653. The next prime is 230144669. The reversal of 230144664 is 466441032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230144669) 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 7 ways as a sum of consecutive naturals, for example, 11964 + ... + 24564.

Almost surely, 2230144664 is an apocalyptic number.

230144664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230144664 is an abundant number, since it is smaller than the sum of its proper divisors (346018776).

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

230144664 is a wasteful number, since it uses less digits than its factorization.

230144664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 230144664 is about 15170.5195692171. The cubic root of 230144664 is about 612.8209964810.

Adding to 230144664 its reverse (466441032), we get a palindrome (696585696).

The spelling of 230144664 in words is "two hundred thirty million, one hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 761 1522 2283 3044 4566 6088 9132 12601 18264 25202 37803 50404 75606 100808 151212 302424 9589361 19178722 28768083 38357444 57536166 76714888 115072332 230144664