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230461540 = 22511523077
BaseRepresentation
bin11011011110010…
…01000001100100
3121001122122210121
431233021001210
5432444232130
634511331324
75465614351
oct1557110144
9531578717
10230461540
111090a9191
1265220b44
133899139a
1422871628
1515374d7a
hexdbc9064

230461540 has 12 divisors (see below), whose sum is σ = 483969276. Its totient is φ = 92184608.

The previous prime is 230461529. The next prime is 230461547. The reversal of 230461540 is 45164032.

It can be written as a sum of positive squares in 2 ways, for example, as 170615844 + 59845696 = 13062^2 + 7736^2 .

It is a super-2 number, since 2×2304615402 = 106225042838343200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230461547) 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 3 ways as a sum of consecutive naturals, for example, 5761519 + ... + 5761558.

It is an arithmetic number, because the mean of its divisors is an integer number (40330773).

Almost surely, 2230461540 is an apocalyptic number.

230461540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230461540 is an abundant number, since it is smaller than the sum of its proper divisors (253507736).

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

230461540 is a wasteful number, since it uses less digits than its factorization.

230461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523086 (or 11523084 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 230461540 is about 15180.9597852046. The cubic root of 230461540 is about 613.1021228644.

The spelling of 230461540 in words is "two hundred thirty million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 11523077 23046154 46092308 57615385 115230770 230461540