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230766440 = 2355769161
BaseRepresentation
bin11011100000100…
…11011101101000
3121002020011001012
431300103131220
5433034011230
634522043052
75501324312
oct1560233550
9532204035
10230766440
11109297273
1265349488
1338a6a0b8
14229107b2
15153d5395
hexdc13768

230766440 has 16 divisors (see below), whose sum is σ = 519224580. Its totient is φ = 92306560.

The previous prime is 230766413. The next prime is 230766461. The reversal of 230766440 is 44667032.

230766440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 220641316 + 10125124 = 14854^2 + 3182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230766397 and 230766406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2884541 + ... + 2884620.

Almost surely, 2230766440 is an apocalyptic number.

230766440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230766440 is an abundant number, since it is smaller than the sum of its proper divisors (288458140).

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

230766440 is a wasteful number, since it uses less digits than its factorization.

230766440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769172 (or 5769168 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 230766440 is about 15190.9986505167. The cubic root of 230766440 is about 613.3723812044.

The spelling of 230766440 in words is "two hundred thirty million, seven hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5769161 11538322 23076644 28845805 46153288 57691610 115383220 230766440