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230030010 = 23357217387
BaseRepresentation
bin11011011010111…
…11101010111010
3121000211201212000
431231133222322
5432341430020
634454201430
75462136300
oct1555375272
9530751760
10230030010
11108933a51
1265053276
133886cb42
142279c270
15152dc090
hexdb5faba

230030010 has 96 divisors (see below), whose sum is σ = 713603520. Its totient is φ = 52575264.

The previous prime is 230029993. The next prime is 230030039. The reversal of 230030010 is 10030032.

It is a happy number.

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 = 230029974 and 230030001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (7433370).

Almost surely, 2230030010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

230030010 is an abundant number, since it is smaller than the sum of its proper divisors (483573510).

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

230030010 is a wasteful number, since it uses less digits than its factorization.

230030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17404 counting only the distinct ones).

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

The square root of 230030010 is about 15166.7402562317. The cubic root of 230030010 is about 612.7192140508.

Adding to 230030010 its reverse (10030032), we get a palindrome (240060042).

The spelling of 230030010 in words is "two hundred thirty million, thirty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 17387 34774 52161 86935 104322 121709 156483 173870 243418 260805 312966 365127 469449 521610 608545 730254 782415 851963 938898 1095381 1217090 1564830 1703926 1825635 2190762 2347245 2555889 3286143 3651270 4259815 4694490 5111778 5476905 6572286 7667667 8519630 10953810 12779445 15335334 16430715 23003001 25558890 32861430 38338335 46006002 76676670 115015005 230030010