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213231330 = 232513315879
BaseRepresentation
bin11001011010110…
…10011011100010
3112212020021101200
430231122123202
5414041400310
633054142030
75166302454
oct1455323342
9485207350
10213231330
11aa3aa944
125b4b1916
133523a8b0
14204682d4
1513abe9c0
hexcb5a6e2

213231330 has 96 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 50785920.

The previous prime is 213231197. The next prime is 213231353. The reversal of 213231330 is 33132312.

213231330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33331 + ... + 39209.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2213231330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

213231330 is an abundant number, since it is smaller than the sum of its proper divisors (403180830).

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

213231330 is a wasteful number, since it uses less digits than its factorization.

213231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213231330 is about 14602.4426038934. The cubic root of 213231330 is about 597.4253847291.

Adding to 213231330 its reverse (33132312), we get a palindrome (246363642).

The spelling of 213231330 in words is "two hundred thirteen million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 5879 6045 7254 11758 12090 17637 18135 29395 35274 36270 52911 58790 76427 88185 105822 152854 176370 182249 229281 264555 364498 382135 458562 529110 546747 687843 764270 911245 1093494 1146405 1375686 1640241 1822490 2292810 2369237 2733735 3280482 3439215 4738474 5467470 6878430 7107711 8201205 11846185 14215422 16402410 21323133 23692370 35538555 42646266 71077110 106615665 213231330