Search a number
-
+
230177540 = 22542127337
BaseRepresentation
bin11011011100000…
…11101100000100
3121001010020020002
431232003230010
5432411140130
634501300432
75463322355
oct1556035404
9531106202
10230177540
11108a2487a
1265104718
13388c2038
14227d9d2c
151531ab45
hexdb83b04

230177540 has 24 divisors (see below), whose sum is σ = 484538712. Its totient is φ = 91848960.

The previous prime is 230177539. The next prime is 230177557. The reversal of 230177540 is 45771032.

It can be written as a sum of positive squares in 4 ways, for example, as 11847364 + 218330176 = 3442^2 + 14776^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 22088.

It is an arithmetic number, because the mean of its divisors is an integer number (20189113).

Almost surely, 2230177540 is an apocalyptic number.

230177540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230177540 is an abundant number, since it is smaller than the sum of its proper divisors (254361172).

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

230177540 is a wasteful number, since it uses less digits than its factorization.

230177540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27767 (or 27765 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 230177540 is about 15171.6030794376. The cubic root of 230177540 is about 612.8501754381.

The spelling of 230177540 in words is "two hundred thirty million, one hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 27337 54674 109348 136685 273370 546740 11508877 23017754 46035508 57544385 115088770 230177540