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230565424 = 24175211627
BaseRepresentation
bin11011011111000…
…10011000110000
3121001211221022011
431233202120300
5433011043144
634513452304
75466526255
oct1557423060
9531757264
10230565424
1110916a241
1265271094
13389c975b
142289b42c
1515395a34
hexdbe2630

230565424 has 40 divisors (see below), whose sum is σ = 474197328. Its totient is φ = 108226560.

The previous prime is 230565367. The next prime is 230565469. The reversal of 230565424 is 424565032.

230565424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140899 + ... + 142525.

Almost surely, 2230565424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230565424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237098664).

230565424 is an abundant number, since it is smaller than the sum of its proper divisors (243631904).

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

230565424 is a wasteful number, since it uses less digits than its factorization.

230565424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 230565424 is about 15184.3809225138. The cubic root of 230565424 is about 613.1942306890.

The spelling of 230565424 in words is "two hundred thirty million, five hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 521 1042 1627 2084 3254 4168 6508 8336 8857 13016 17714 26032 27659 35428 55318 70856 110636 141712 221272 442544 847667 1695334 3390668 6781336 13562672 14410339 28820678 57641356 115282712 230565424