Search a number
-
+
212412020 = 22519558979
BaseRepresentation
bin11001010100100…
…10011001110100
3112210200122111212
430222102121310
5413334141040
633024420552
75156321012
oct1452223164
9483618455
10212412020
11a99a0327
125b177758
13350119b2
14202d38b2
15139abd65
hexca92674

212412020 has 24 divisors (see below), whose sum is σ = 469543200. Its totient is φ = 80492832.

The previous prime is 212412019. The next prime is 212412073. The reversal of 212412020 is 20214212.

It is a junction number, because it is equal to n+sod(n) for n = 212411986 and 212412004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279110 + ... + 279869.

It is an arithmetic number, because the mean of its divisors is an integer number (19564300).

Almost surely, 2212412020 is an apocalyptic number.

212412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212412020 is an abundant number, since it is smaller than the sum of its proper divisors (257131180).

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

212412020 is a wasteful number, since it uses less digits than its factorization.

212412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559007 (or 559005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212412020 is about 14574.3617355958. The cubic root of 212412020 is about 596.6592295748.

Adding to 212412020 its reverse (20214212), we get a palindrome (232626232).

The spelling of 212412020 in words is "two hundred twelve million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 558979 1117958 2235916 2794895 5589790 10620601 11179580 21241202 42482404 53103005 106206010 212412020