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216214350 = 235211592221
BaseRepresentation
bin11001110001100…
…10101101001110
3120001211211022220
430320302231032
5420322324400
633242120210
75233535352
oct1470625516
9501754286
10216214350
11101058050
12604b0066
1335a435b1
1420a03462
1513ead7a0
hexce32b4e

216214350 has 96 divisors (see below), whose sum is σ = 595140480. Its totient is φ = 51504000.

The previous prime is 216214309. The next prime is 216214351. The reversal of 216214350 is 53412612.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216214350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216214351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96240 + ... + 98460.

It is an arithmetic number, because the mean of its divisors is an integer number (6199380).

Almost surely, 2216214350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216214350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297570240).

216214350 is an abundant number, since it is smaller than the sum of its proper divisors (378926130).

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

216214350 is a wasteful number, since it uses less digits than its factorization.

216214350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 216214350 is about 14704.2289835272. The cubic root of 216214350 is about 600.1984066064.

Adding to 216214350 its reverse (53412612), we get a palindrome (269626962).

The spelling of 216214350 in words is "two hundred sixteen million, two hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 59 66 75 110 118 150 165 177 275 295 330 354 550 590 649 825 885 1298 1475 1650 1770 1947 2221 2950 3245 3894 4425 4442 6490 6663 8850 9735 11105 13326 16225 19470 22210 24431 32450 33315 48675 48862 55525 66630 73293 97350 111050 122155 131039 146586 166575 244310 262078 333150 366465 393117 610775 655195 732930 786234 1221550 1310390 1441429 1832325 1965585 2882858 3275975 3664650 3931170 4324287 6551950 7207145 8648574 9827925 14414290 19655850 21621435 36035725 43242870 72071450 108107175 216214350