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230300010 = 2345596179
BaseRepresentation
bin11011011101000…
…01100101101010
3121001100110020000
431232201211222
5432424100020
634504043430
75464342413
oct1556414552
9531313200
10230300010
11108aa8896
1265163576
13389359c5
142282c80a
1515342090
hexdba196a

230300010 has 160 divisors (see below), whose sum is σ = 648172800. Its totient is φ = 58631040.

The previous prime is 230300009. The next prime is 230300011. The reversal of 230300010 is 10003032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230300009) and next prime (230300011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 230299965 and 230300001.

It is not an unprimeable number, because it can be changed into a prime (230300011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2915151 + ... + 2915229.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2230300010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324086400).

230300010 is an abundant number, since it is smaller than the sum of its proper divisors (417872790).

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

230300010 is a wasteful number, since it uses less digits than its factorization.

230300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230300010 is about 15175.6387015506. The cubic root of 230300010 is about 612.9588487305.

Adding to 230300010 its reverse (10003032), we get a palindrome (240303042).

The spelling of 230300010 in words is "two hundred thirty million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 61 79 81 90 118 122 135 158 162 177 183 237 270 295 305 354 366 395 405 474 531 549 590 610 711 790 810 885 915 1062 1098 1185 1422 1593 1647 1770 1830 2133 2370 2655 2745 3186 3294 3555 3599 4266 4661 4779 4819 4941 5310 5490 6399 7110 7198 7965 8235 9322 9558 9638 9882 10665 10797 12798 13983 14457 15930 16470 17995 21330 21594 23305 23895 24095 24705 27966 28914 31995 32391 35990 41949 43371 46610 47790 48190 49410 53985 63990 64782 69915 72285 83898 86742 97173 107970 125847 130113 139830 144570 161955 194346 209745 216855 251694 260226 284321 291519 323910 377541 390339 419490 433710 485865 568642 583038 629235 650565 755082 780678 852963 971730 1258470 1301130 1421605 1457595 1705926 1887705 1951695 2558889 2843210 2915190 3775410 3903390 4264815 5117778 7676667 8529630 12794445 15353334 23030001 25588890 38383335 46060002 76766670 115150005 230300010