Search a number
-
+
252212202 = 2321137173199
BaseRepresentation
bin11110000100001…
…11001111101010
3122120120201002200
433002013033222
51004031242302
641005441030
76151524354
oct1702071752
9576521080
10252212202
1111a404840
1270570176
13403385b8
14256d40d4
151721e81c
hexf0873ea

252212202 has 96 divisors (see below), whose sum is σ = 618883200. Its totient is φ = 73560960.

The previous prime is 252212201. The next prime is 252212237. The reversal of 252212202 is 202212252.

252212202 is a `hidden beast` number, since 252 + 212 + 202 = 666.

It is a super-2 number, since 2×2522122022 = 127221989675377608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252212201) 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, 1267299 + ... + 1267497.

It is an arithmetic number, because the mean of its divisors is an integer number (6446700).

Almost surely, 2252212202 is an apocalyptic number.

252212202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309441600).

252212202 is an abundant number, since it is smaller than the sum of its proper divisors (366670998).

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

252212202 is a wasteful number, since it uses less digits than its factorization.

252212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252212202 is about 15881.1901946926. The cubic root of 252212202 is about 631.8132042224.

Adding to 252212202 its reverse (202212252), we get a palindrome (454424454).

The spelling of 252212202 in words is "two hundred fifty-two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 173 198 199 222 333 346 398 407 519 597 666 814 1038 1194 1221 1557 1791 1903 2189 2442 3114 3582 3663 3806 4378 5709 6401 6567 7326 7363 11418 12802 13134 14726 17127 19203 19701 22089 34254 34427 38406 39402 44178 57609 66267 68854 70411 80993 103281 115218 132534 140822 161986 206562 211233 242979 309843 378697 422466 485958 619686 633699 728937 757394 1136091 1267398 1273799 1457874 2272182 2547598 3408273 3821397 6816546 7642794 11464191 14011789 22928382 28023578 42035367 84070734 126106101 252212202