Search a number
-
+
252217220 = 22512610861
BaseRepresentation
bin11110000100010…
…00011110000100
3122120120221222112
433002020132010
51004031422340
641005520152
76151545113
oct1702103604
9576527875
10252217220
1111a408592
1270573058
134033a978
14256d5c7a
1517221065
hexf088784

252217220 has 12 divisors (see below), whose sum is σ = 529656204. Its totient is φ = 100886880.

The previous prime is 252217213. The next prime is 252217289. The reversal of 252217220 is 22712252.

It can be written as a sum of positive squares in 2 ways, for example, as 134884996 + 117332224 = 11614^2 + 10832^2 .

It is a super-2 number, since 2×2522172202 = 127227052129056800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6305411 + ... + 6305450.

It is an arithmetic number, because the mean of its divisors is an integer number (44138017).

Almost surely, 2252217220 is an apocalyptic number.

252217220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252217220 is an abundant number, since it is smaller than the sum of its proper divisors (277438984).

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

252217220 is a wasteful number, since it uses less digits than its factorization.

252217220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610870 (or 12610868 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 252217220 is about 15881.3481795470. The cubic root of 252217220 is about 631.8173943682.

Adding to 252217220 its reverse (22712252), we get a palindrome (274929472).

The spelling of 252217220 in words is "two hundred fifty-two million, two hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 12610861 25221722 50443444 63054305 126108610 252217220