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230613520 = 2454170309
BaseRepresentation
bin11011011111011…
…10001000010000
3121001221101021111
431233232020100
5433014113040
634514503104
75500116424
oct1557561020
9531841244
10230613520
111091a2395
1265294a94
1338a15607
14228b0b84
15153a4dea
hexdbee210

230613520 has 40 divisors (see below), whose sum is σ = 549261720. Its totient is φ = 89994240.

The previous prime is 230613499. The next prime is 230613521. The reversal of 230613520 is 25316032.

230613520 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 4 ways, for example, as 4892944 + 225720576 = 2212^2 + 15024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 230613491 and 230613500.

It is not an unprimeable number, because it can be changed into a prime (230613521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31875 + ... + 38434.

It is an arithmetic number, because the mean of its divisors is an integer number (13731543).

Almost surely, 2230613520 is an apocalyptic number.

230613520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230613520 is an abundant number, since it is smaller than the sum of its proper divisors (318648200).

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

230613520 is a wasteful number, since it uses less digits than its factorization.

230613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70363 (or 70357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 230613520 is about 15185.9645725914. The cubic root of 230613520 is about 613.2368652101.

Adding to 230613520 its reverse (25316032), we get a palindrome (255929552).

The spelling of 230613520 in words is "two hundred thirty million, six hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 70309 140618 281236 351545 562472 703090 1124944 1406180 2812360 2882669 5624720 5765338 11530676 14413345 23061352 28826690 46122704 57653380 115306760 230613520