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230200110 = 23357313929
BaseRepresentation
bin11011011100010…
…01001100101110
3121001011101012000
431232021030232
5432412400420
634501553130
75463445230
oct1556111456
9531141160
10230200110
11108a3a828
12651157a6
13388cc3aa
1422804250
1515322690
hexdb8932e

230200110 has 128 divisors (see below), whose sum is σ = 724377600. Its totient is φ = 50906880.

The previous prime is 230200099. The next prime is 230200127. The reversal of 230200110 is 11002032.

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 = 230200092 and 230200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56626 + ... + 60554.

It is an arithmetic number, because the mean of its divisors is an integer number (5659200).

Almost surely, 2230200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362188800).

230200110 is an abundant number, since it is smaller than the sum of its proper divisors (494177490).

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

230200110 is a wasteful number, since it uses less digits than its factorization.

230200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 230200110 is about 15172.3468850406. The cubic root of 230200110 is about 612.8702057393.

Adding to 230200110 its reverse (11002032), we get a palindrome (241202142).

The spelling of 230200110 in words is "two hundred thirty million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 3929 4185 5859 6510 7858 8370 9765 11718 11787 19530 19645 23574 27503 29295 35361 39290 55006 58590 58935 70722 82509 106083 117870 121799 137515 165018 176805 212166 243598 247527 275030 353610 365397 412545 495054 530415 608995 730794 742581 825090 852593 1060830 1096191 1217990 1237635 1485162 1705186 1826985 2192382 2475270 2557779 3288573 3653970 3712905 4262965 5115558 5480955 6577146 7425810 7673337 8525930 10961910 12788895 15346674 16442865 23020011 25577790 32885730 38366685 46040022 76733370 115100055 230200110