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230439760 = 245172353139
BaseRepresentation
bin11011011110000…
…11101101010000
3121001121112220221
431233003231100
5432443033020
634511042424
75465464015
oct1557035520
9531545827
10230439760
11109093891
1265210414
13389844b5
142286770c
151536d6aa
hexdbc3b50

230439760 has 160 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 80830464.

The previous prime is 230439719. The next prime is 230439791. The reversal of 230439760 is 67934032.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657771 + ... + 1657909.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2230439760 is an apocalyptic number.

230439760 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 230439760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

230439760 is an abundant number, since it is smaller than the sum of its proper divisors (377021360).

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

230439760 is a wasteful number, since it uses less digits than its factorization.

230439760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 230439760 is about 15180.2424223067. The cubic root of 230439760 is about 613.0828083113.

The spelling of 230439760 in words is "two hundred thirty million, four hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 53 68 80 85 92 106 115 136 139 170 184 212 230 265 272 278 340 368 391 424 460 530 556 680 695 782 848 901 920 1060 1112 1219 1360 1390 1564 1802 1840 1955 2120 2224 2363 2438 2780 3128 3197 3604 3910 4240 4505 4726 4876 5560 6095 6256 6394 7208 7367 7820 9010 9452 9752 11120 11815 12190 12788 14416 14734 15640 15985 18020 18904 19504 20723 23630 24380 25576 29468 31280 31970 36040 36835 37808 41446 47260 48760 51152 54349 58936 63940 72080 73670 82892 94520 97520 103615 108698 117872 125239 127880 147340 165784 169441 189040 207230 217396 250478 255760 271745 294680 331568 338882 414460 434792 500956 543490 589360 626195 677764 828920 847205 869584 1001912 1086980 1252390 1355528 1657840 1694410 2003824 2173960 2504780 2711056 2880497 3388820 4347920 5009560 5760994 6777640 10019120 11521988 13555280 14402485 23043976 28804970 46087952 57609940 115219880 230439760