Search a number
-
+
216241350 = 235213173641
BaseRepresentation
bin11001110001110…
…01010011000110
3120001220012100220
430320321103012
5420324210400
633242445210
75234010153
oct1470712306
9501805326
10216241350
11101076366
1260503806
1335a52980
1420a0d22a
1513eb67a0
hexce394c6

216241350 has 96 divisors (see below), whose sum is σ = 581775264. Its totient is φ = 52838400.

The previous prime is 216241301. The next prime is 216241369. The reversal of 216241350 is 53142612.

216241350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216241350.

It is a congruent number.

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, 337030 + ... + 337670.

It is an arithmetic number, because the mean of its divisors is an integer number (6060159).

Almost surely, 2216241350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216241350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290887632).

216241350 is an abundant number, since it is smaller than the sum of its proper divisors (365533914).

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

216241350 is a wasteful number, since it uses less digits than its factorization.

216241350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

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

The square root of 216241350 is about 14705.1470580882. The cubic root of 216241350 is about 600.2233890408.

Adding to 216241350 its reverse (53142612), we get a palindrome (269383962).

The spelling of 216241350 in words is "two hundred sixteen million, two hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 173 195 325 346 390 519 641 650 865 975 1038 1282 1730 1923 1950 2249 2595 3205 3846 4325 4498 5190 6410 6747 8333 8650 9615 11245 12975 13494 16025 16666 19230 22490 24999 25950 32050 33735 41665 48075 49998 56225 67470 83330 96150 110893 112450 124995 168675 208325 221786 249990 332679 337350 416650 554465 624975 665358 1108930 1249950 1441609 1663395 2772325 2883218 3326790 4324827 5544650 7208045 8316975 8649654 14416090 16633950 21624135 36040225 43248270 72080450 108120675 216241350