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230469263700 = 2235213227260329
BaseRepresentation
bin1101011010100100001…
…0011110000101010100
3211000212210120122122120
43112221002132011110
512234000112414300
6253513124055540
722436146263414
oct3265102360524
9730783518576
10230469263700
1189817988a75
12387bb8345b0
131896b9971b0
14b2249a0644
155edd3943a0
hex35a909e154

230469263700 has 144 divisors (see below), whose sum is σ = 721284876480. Its totient is φ = 56480762880.

The previous prime is 230469263683. The next prime is 230469263729. The reversal of 230469263700 is 7362964032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755136 + ... + 1015464.

Almost surely, 2230469263700 is an apocalyptic number.

230469263700 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 230469263700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360642438240).

230469263700 is an abundant number, since it is smaller than the sum of its proper divisors (490815612780).

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

230469263700 is a wasteful number, since it uses less digits than its factorization.

230469263700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260586 (or 260579 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 230469263700 in words is "two hundred thirty billion, four hundred sixty-nine million, two hundred sixty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 227 260 300 325 390 454 650 681 780 908 975 1135 1300 1362 1950 2270 2724 2951 3405 3900 4540 5675 5902 6810 8853 11350 11804 13620 14755 17025 17706 22700 29510 34050 35412 44265 59020 68100 73775 88530 147550 177060 221325 260329 295100 442650 520658 780987 885300 1041316 1301645 1561974 2603290 3123948 3384277 3904935 5206580 6508225 6768554 7809870 10152831 13016450 13537108 15619740 16921385 19524675 20305662 26032900 33842770 39049350 40611324 50764155 59094683 67685540 78098700 84606925 101528310 118189366 169213850 177284049 203056620 236378732 253820775 295473415 338427700 354568098 507641550 590946830 709136196 768230879 886420245 1015283100 1181893660 1477367075 1536461758 1772840490 2304692637 2954734150 3072923516 3545680980 3841154395 4432101225 4609385274 5909468300 7682308790 8864202450 9218770548 11523463185 15364617580 17728404900 19205771975 23046926370 38411543950 46093852740 57617315925 76823087900 115234631850 230469263700