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230010200 = 23527198647
BaseRepresentation
bin11011011010110…
…10110101011000
3121000210201200022
431231122311120
5432340311300
634453530012
75462024450
oct1555326530
9530721608
10230010200
11108920082
1265043908
1338863b14
1422794d60
15152d6285
hexdb5ad58

230010200 has 96 divisors (see below), whose sum is σ = 643411200. Its totient is φ = 74701440.

The previous prime is 230010169. The next prime is 230010203. The reversal of 230010200 is 2010032.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230010203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22277 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (6702200).

Almost surely, 2230010200 is an apocalyptic number.

230010200 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 230010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321705600).

230010200 is an abundant number, since it is smaller than the sum of its proper divisors (413401000).

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

230010200 is a wasteful number, since it uses less digits than its factorization.

230010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230010200 is about 15166.0871684162. The cubic root of 230010200 is about 612.7016245834.

Adding to 230010200 its reverse (2010032), we get a palindrome (232020232).

The spelling of 230010200 in words is "two hundred thirty million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 8647 13300 17294 26600 34588 43235 60529 69176 86470 121058 164293 172940 216175 242116 302645 328586 345880 432350 484232 605290 657172 821465 864700 1150051 1210580 1314344 1513225 1642930 1729400 2300102 2421160 3026450 3285860 4107325 4600204 5750255 6052900 6571720 8214650 9200408 11500510 12105800 16429300 23001020 28751275 32858600 46002040 57502550 115005100 230010200