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230068576 = 2543612741
BaseRepresentation
bin11011011011010…
…01000101100000
3121000220200202101
431231221011200
5432344143301
634455100144
75462356603
oct1555510540
9530820671
10230068576
1110895aa21
1265071654
133888456a
14227ac33a
15152e8701
hexdb69160

230068576 has 48 divisors (see below), whose sum is σ = 471251088. Its totient is φ = 110476800.

The previous prime is 230068561. The next prime is 230068591. The reversal of 230068576 is 675860032.

It is an interprime number because it is at equal distance from previous prime (230068561) and next prime (230068591).

It is a congruent number.

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, 82566 + ... + 85306.

It is an arithmetic number, because the mean of its divisors is an integer number (9817731).

Almost surely, 2230068576 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 230068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235625544).

230068576 is an abundant number, since it is smaller than the sum of its proper divisors (241182512).

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

230068576 is a wasteful number, since it uses less digits than its factorization.

230068576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 230068576 is about 15168.0116033711. The cubic root of 230068576 is about 612.7534542336.

It can be divided in two parts, 2300 and 68576, that added together give a triangular number (70876 = T376).

The spelling of 230068576 in words is "two hundred thirty million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1376 1952 2623 2741 5246 5482 10492 10964 20984 21928 41968 43856 83936 87712 117863 167201 235726 334402 471452 668804 942904 1337608 1885808 2675216 3771616 5350432 7189643 14379286 28758572 57517144 115034288 230068576