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230276310 = 2351137379
BaseRepresentation
bin11011011100110…
…11110011010110
3121001022020201020
431232123303112
5432422320220
634503342010
75464213335
oct1556336326
9531266636
10230276310
11108a92000
1265151906
1338927c94
1422823d1c
151533a040
hexdb9bcd6

230276310 has 128 divisors (see below), whose sum is σ = 624015360. Its totient is φ = 54362880.

The previous prime is 230276303. The next prime is 230276311. The reversal of 230276310 is 13672032.

It is a super-2 number, since 2×2302763102 = 106054357894432200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230276311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2914851 + ... + 2914929.

It is an arithmetic number, because the mean of its divisors is an integer number (4875120).

Almost surely, 2230276310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230276310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312007680).

230276310 is an abundant number, since it is smaller than the sum of its proper divisors (393739050).

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

230276310 is a wasteful number, since it uses less digits than its factorization.

230276310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 230276310 is about 15174.8578247047. The cubic root of 230276310 is about 612.9378216319.

The spelling of 230276310 in words is "two hundred thirty million, two hundred seventy-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 79 110 121 146 158 165 219 237 242 330 363 365 395 438 474 605 726 730 790 803 869 1095 1185 1210 1331 1606 1738 1815 2190 2370 2409 2607 2662 3630 3993 4015 4345 4818 5214 5767 6655 7986 8030 8690 8833 9559 11534 12045 13035 13310 17301 17666 19118 19965 24090 26070 26499 28677 28835 34602 39930 44165 47795 52998 57354 57670 63437 86505 88330 95590 97163 105149 126874 132495 143385 173010 190311 194326 210298 264990 286770 291489 315447 317185 380622 485815 525745 582978 630894 634370 697807 951555 971630 1051490 1395614 1457445 1577235 1903110 2093421 2914890 3154470 3489035 4186842 6978070 7675877 10467105 15351754 20934210 23027631 38379385 46055262 76758770 115138155 230276310