Search a number
-
+
12225532350 = 2352241383883
BaseRepresentation
bin10110110001011001…
…01101000110111110
31011120000111101120110
423120230231012332
5200014214013400
65341043330450
7611650211313
oct133054550676
934500441513
1012225532350
115203aa3449
122452380a26
1311caabb415
1483d968d0a
154b846ee50
hex2d8b2d1be

12225532350 has 96 divisors (see below), whose sum is σ = 30559186944. Its totient is φ = 3234470400.

The previous prime is 12225532331. The next prime is 12225532351. The reversal of 12225532350 is 5323552221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225532351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13845009 + ... + 13845891.

It is an arithmetic number, because the mean of its divisors is an integer number (318324864).

Almost surely, 212225532350 is an apocalyptic number.

12225532350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225532350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279593472).

12225532350 is an abundant number, since it is smaller than the sum of its proper divisors (18333654594).

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

12225532350 is a wasteful number, since it uses less digits than its factorization.

12225532350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 12225532350 in words is "twelve billion, two hundred twenty-five million, five hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 241 383 482 723 766 883 1149 1205 1446 1766 1915 2298 2410 2649 3615 3830 4415 5298 5745 6025 7230 8830 9575 11490 12050 13245 18075 19150 22075 26490 28725 36150 44150 57450 66225 92303 132450 184606 212803 276909 338189 425606 461515 553818 638409 676378 923030 1014567 1064015 1276818 1384545 1690945 2029134 2128030 2307575 2769090 3192045 3381890 4615150 5072835 5320075 6384090 6922725 8454725 10145670 10640150 13845450 15960225 16909450 25364175 31920450 50728350 81503549 163007098 244510647 407517745 489021294 815035490 1222553235 2037588725 2445106470 4075177450 6112766175 12225532350