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230124264 = 2339588511
BaseRepresentation
bin11011011011101…
…10101011101000
3121001000112010220
431231312223220
5432402434024
634500210040
75463011136
oct1555665350
9531015126
10230124264
11108998847
1265099920
13388a3a06
14227c4756
1515309e79
hexdb76ae8

230124264 has 16 divisors (see below), whose sum is σ = 575310720. Its totient is φ = 76708080.

The previous prime is 230124263. The next prime is 230124281. The reversal of 230124264 is 462421032.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9588511 = 230124264 / (2 + 3 + 0 + 1 + 2 + 4 + 2 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (230124263) 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 3 ways as a sum of consecutive naturals, for example, 4794232 + ... + 4794279.

It is an arithmetic number, because the mean of its divisors is an integer number (35956920).

Almost surely, 2230124264 is an apocalyptic number.

230124264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230124264 is an abundant number, since it is smaller than the sum of its proper divisors (345186456).

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

230124264 is a wasteful number, since it uses less digits than its factorization.

230124264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588520 (or 9588516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230124264 is about 15169.8471976484. The cubic root of 230124264 is about 612.8028891487.

Adding to 230124264 its reverse (462421032), we get a palindrome (692545296).

It can be divided in two parts, 2301 and 24264, that added together give a triangular number (26565 = T230).

The spelling of 230124264 in words is "two hundred thirty million, one hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 9588511 19177022 28765533 38354044 57531066 76708088 115062132 230124264