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230035050 = 232527103709
BaseRepresentation
bin11011011011000…
…00111001101010
3121000211222202200
431231200321222
5432342110200
634454241030
75462160060
oct1555407152
9530758680
10230035050
11108937813
1265056176
133887221b
14227a0030
15152dd800
hexdb60e6a

230035050 has 144 divisors (see below), whose sum is σ = 714180480. Its totient is φ = 51995520.

The previous prime is 230035049. The next prime is 230035067. The reversal of 230035050 is 50530032.

It is a super-2 number, since 2×2300350502 = 105832248457005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324096 + ... + 324804.

Almost surely, 2230035050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230035050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357090240).

230035050 is an abundant number, since it is smaller than the sum of its proper divisors (484145430).

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

230035050 is a wasteful number, since it uses less digits than its factorization.

230035050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 230035050 is about 15166.9064083616. The cubic root of 230035050 is about 612.7236889485.

Adding to 230035050 its reverse (50530032), we get a palindrome (280565082).

The spelling of 230035050 in words is "two hundred thirty million, thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 103 105 126 150 175 206 210 225 309 315 350 450 515 525 618 630 709 721 927 1030 1050 1418 1442 1545 1575 1854 2127 2163 2575 3090 3150 3545 3605 4254 4326 4635 4963 5150 6381 6489 7090 7210 7725 9270 9926 10635 10815 12762 12978 14889 15450 17725 18025 21270 21630 23175 24815 29778 31905 32445 35450 36050 44667 46350 49630 53175 54075 63810 64890 73027 74445 89334 106350 108150 124075 146054 148890 159525 162225 219081 223335 248150 319050 324450 365135 372225 438162 446670 511189 657243 730270 744450 1022378 1095405 1116675 1314486 1533567 1825675 2190810 2233350 2555945 3067134 3286215 3651350 4600701 5111890 5477025 6572430 7667835 9201402 10954050 12779725 15335670 16431075 23003505 25559450 32862150 38339175 46007010 76678350 115017525 230035050