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230035560 = 23352577459
BaseRepresentation
bin11011011011000…
…01000001101000
3121000212000110120
431231201001220
5432342114220
634454243240
75462161416
oct1555410150
9530760416
10230035560
11108938137
1265056520
1338872521
14227a02b6
15152dda40
hexdb61068

230035560 has 64 divisors (see below), whose sum is σ = 692884800. Its totient is φ = 61095936.

The previous prime is 230035537. The next prime is 230035571. The reversal of 230035560 is 65530032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230035560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27111 + ... + 34569.

It is an arithmetic number, because the mean of its divisors is an integer number (10826325).

Almost surely, 2230035560 is an apocalyptic number.

230035560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230035560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346442400).

230035560 is an abundant number, since it is smaller than the sum of its proper divisors (462849240).

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

230035560 is a wasteful number, since it uses less digits than its factorization.

230035560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 230035560 is about 15166.9232212733. The cubic root of 230035560 is about 612.7241417619.

Adding to 230035560 its reverse (65530032), we get a palindrome (295565592).

The spelling of 230035560 in words is "two hundred thirty million, thirty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7459 7710 10280 14918 15420 22377 29836 30840 37295 44754 59672 74590 89508 111885 149180 179016 223770 298360 447540 895080 1916963 3833926 5750889 7667852 9584815 11501778 15335704 19169630 23003556 28754445 38339260 46007112 57508890 76678520 115017780 230035560