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230276268 = 223221532971
BaseRepresentation
bin11011011100110…
…11110010101100
3121001022020122200
431232123302230
5432422320033
634503341500
75464213245
oct1556336254
9531266580
10230276268
11108a91a72
1265151890
1338927c61
1422823ccc
151533a013
hexdb9bcac

230276268 has 36 divisors (see below), whose sum is σ = 582553608. Its totient is φ = 76697280.

The previous prime is 230276239. The next prime is 230276297. The reversal of 230276268 is 862672032.

230276268 is a `hidden beast` number, since 2 + 3 + 0 + 27 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (230276239) and next prime (230276297).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76023 + ... + 78993.

Almost surely, 2230276268 is an apocalyptic number.

It is an amenable number.

230276268 is an abundant number, since it is smaller than the sum of its proper divisors (352277340).

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

230276268 is a wasteful number, since it uses less digits than its factorization.

230276268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 230276268 is about 15174.8564408366. The cubic root of 230276268 is about 612.9377843674.

The spelling of 230276268 in words is "two hundred thirty million, two hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2153 2971 4306 5942 6459 8612 8913 11884 12918 17826 19377 25836 26739 35652 38754 53478 77508 106956 6396563 12793126 19189689 25586252 38379378 57569067 76758756 115138134 230276268