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230245600 = 2552133131
BaseRepresentation
bin11011011100101…
…00010011100000
3121001020200120211
431232110103200
5432420324400
634502543504
75464024654
oct1556242340
9531220524
10230245600
11108a70a22
1265137b94
1338917000
1422816a64
1515330dba
hexdb944e0

230245600 has 144 divisors (see below), whose sum is σ = 613554480. Its totient is φ = 84364800.

The previous prime is 230245597. The next prime is 230245619. The reversal of 230245600 is 6542032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1757535 + ... + 1757665.

It is an arithmetic number, because the mean of its divisors is an integer number (4260795).

Almost surely, 2230245600 is an apocalyptic number.

230245600 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 230245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306777240).

230245600 is an abundant number, since it is smaller than the sum of its proper divisors (383308880).

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

230245600 is a wasteful number, since it uses less digits than its factorization.

230245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 230245600 is about 15173.8459198715. The cubic root of 230245600 is about 612.9105729796.

Adding to 230245600 its reverse (6542032), we get a palindrome (236787632).

The spelling of 230245600 in words is "two hundred thirty million, two hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 131 160 169 200 208 260 262 325 338 400 416 520 524 650 655 676 800 845 1040 1048 1300 1310 1352 1690 1703 2080 2096 2197 2600 2620 2704 3275 3380 3406 4192 4225 4394 5200 5240 5408 6550 6760 6812 8450 8515 8788 10400 10480 10985 13100 13520 13624 16900 17030 17576 20960 21970 22139 26200 27040 27248 33800 34060 35152 42575 43940 44278 52400 54496 54925 67600 68120 70304 85150 87880 88556 104800 109850 110695 135200 136240 170300 175760 177112 219700 221390 272480 287807 340600 351520 354224 439400 442780 553475 575614 681200 708448 878800 885560 1106950 1151228 1362400 1439035 1757600 1771120 2213900 2302456 2878070 3542240 4427800 4604912 5756140 7195175 8855600 9209824 11512280 14390350 17711200 23024560 28780700 46049120 57561400 115122800 230245600