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231412300 = 22527283569
BaseRepresentation
bin11011100101100…
…01001001001100
3121010102221222221
431302301021030
5433220143200
634543545124
75506654300
oct1562611114
9533387887
10231412300
11109698539
12655bb1a4
1338c35072
1422a3bd00
15154b191a
hexdcb124c

231412300 has 108 divisors (see below), whose sum is σ = 592227720. Its totient is φ = 78247680.

The previous prime is 231412289. The next prime is 231412331. The reversal of 231412300 is 3214132.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 406416 + ... + 406984.

It is an arithmetic number, because the mean of its divisors is an integer number (5483590).

Almost surely, 2231412300 is an apocalyptic number.

231412300 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 231412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296113860).

231412300 is an abundant number, since it is smaller than the sum of its proper divisors (360815420).

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

231412300 is a wasteful number, since it uses less digits than its factorization.

231412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231412300 is about 15212.2417808816. The cubic root of 231412300 is about 613.9440756571.

Adding to 231412300 its reverse (3214132), we get a palindrome (234626432).

The spelling of 231412300 in words is "two hundred thirty-one million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 83 98 100 140 166 175 196 245 332 350 415 490 569 581 700 830 980 1138 1162 1225 1660 2075 2276 2324 2450 2845 2905 3983 4067 4150 4900 5690 5810 7966 8134 8300 11380 11620 14225 14525 15932 16268 19915 20335 27881 28450 29050 39830 40670 47227 55762 56900 58100 79660 81340 94454 99575 101675 111524 139405 188908 199150 203350 236135 278810 330589 398300 406700 472270 557620 661178 697025 944540 1180675 1322356 1394050 1652945 2314123 2361350 2788100 3305890 4628246 4722700 6611780 8264725 9256492 11570615 16529450 23141230 33058900 46282460 57853075 115706150 231412300