Search a number
-
+
212131566 = 232831071327
BaseRepresentation
bin11001010010011…
…01111011101110
3112210011101210200
430221031323232
5413301202231
633014414330
75154042243
oct1451157356
9483141720
10212131566
11a9819649
125b0613a6
1334c4414a
142025d5ca
1513953be6
hexca4deee

212131566 has 48 divisors (see below), whose sum is σ = 469857024. Its totient is φ = 69153552.

The previous prime is 212131547. The next prime is 212131567. The reversal of 212131566 is 665131212.

It is a super-2 number, since 2×2121315662 = 89999602587224712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159195 + ... + 160521.

It is an arithmetic number, because the mean of its divisors is an integer number (9788688).

Almost surely, 2212131566 is an apocalyptic number.

212131566 is an abundant number, since it is smaller than the sum of its proper divisors (257725458).

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

212131566 is a wasteful number, since it uses less digits than its factorization.

212131566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1522 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 212131566 is about 14564.7370728070. The cubic root of 212131566 is about 596.3965181902.

Adding to 212131566 its reverse (665131212), we get a palindrome (877262778).

The spelling of 212131566 in words is "two hundred twelve million, one hundred thirty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 83 107 166 214 249 321 498 642 747 963 1327 1494 1926 2654 3981 7962 8881 11943 17762 23886 26643 53286 79929 110141 141989 159858 220282 283978 330423 425967 660846 851934 991269 1277901 1982538 2555802 11785087 23570174 35355261 70710522 106065783 212131566