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230760208 = 2472294337
BaseRepresentation
bin11011100000100…
…01111100010000
3121002012211111101
431300101330100
5433033311313
634521554144
75501300200
oct1560217420
9532184441
10230760208
11109292618
1265345954
1338a67303
142290c400
15153d35dd
hexdc11f10

230760208 has 30 divisors (see below), whose sum is σ = 520095246. Its totient is φ = 98896896.

The previous prime is 230760191. The next prime is 230760209. The reversal of 230760208 is 802067032.

It can be written as a sum of positive squares in only one way, i.e., 152473104 + 78287104 = 12348^2 + 8848^2 .

It is a super-3 number, since 3×2307602083 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230760209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146385 + ... + 147952.

Almost surely, 2230760208 is an apocalyptic number.

230760208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230760208 is an abundant number, since it is smaller than the sum of its proper divisors (289335038).

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

230760208 is a wasteful number, since it uses less digits than its factorization.

230760208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294359 (or 294346 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 230760208 is about 15190.7935276601. The cubic root of 230760208 is about 613.3668596460.

The spelling of 230760208 in words is "two hundred thirty million, seven hundred sixty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 294337 588674 1177348 2060359 2354696 4120718 4709392 8241436 14422513 16482872 28845026 32965744 57690052 115380104 230760208