Search a number
-
+
135222210 = 23105229
BaseRepresentation
bin10000000111101…
…01001111000010
3100102110000000000
420003311033002
5234104102320
621230140430
73231240564
oct1003651702
9312400000
10135222210
116a3694a2
1239351716
1322026756
1413d5d334
15bd10c90
hex80f53c2

135222210 has 88 divisors (see below), whose sum is σ = 366692220. Its totient is φ = 35901792.

The previous prime is 135222193. The next prime is 135222247. The reversal of 135222210 is 12222531.

It can be written as a sum of positive squares in 2 ways, for example, as 130439241 + 4782969 = 11421^2 + 2187^2 .

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 43 ways as a sum of consecutive naturals, for example, 590376 + ... + 590604.

Almost surely, 2135222210 is an apocalyptic number.

135222210 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 135222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183346110).

135222210 is an abundant number, since it is smaller than the sum of its proper divisors (231470010).

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

135222210 is an frugal number, since it uses more digits than its factorization.

135222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135222210 is about 11628.5085028132. The cubic root of 135222210 is about 513.2740917561.

Adding to 135222210 its reverse (12222531), we get a palindrome (147444741).

The spelling of 135222210 in words is "one hundred thirty-five million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 243 270 405 458 486 687 729 810 1145 1215 1374 1458 2061 2187 2290 2430 3435 3645 4122 4374 6183 6561 6870 7290 10305 10935 12366 13122 18549 19683 20610 21870 30915 32805 37098 39366 55647 59049 61830 65610 92745 98415 111294 118098 166941 185490 196830 278235 295245 333882 500823 556470 590490 834705 1001646 1502469 1669410 2504115 3004938 4507407 5008230 7512345 9014814 13522221 15024690 22537035 27044442 45074070 67611105 135222210