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212424540 = 223519917791
BaseRepresentation
bin11001010100101…
…01011101011100
3112210201021200120
430222111131130
5413340041130
633024554540
75156402346
oct1452253534
9483637616
10212424540
11a99a9779
125b182a50
13350175c3
14202d8296
15139b0910
hexca9575c

212424540 has 48 divisors (see below), whose sum is σ = 597811200. Its totient is φ = 56358720.

The previous prime is 212424539. The next prime is 212424551. The reversal of 212424540 is 45424212.

It is a happy number.

212424540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212424540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3045 + ... + 20835.

It is an arithmetic number, because the mean of its divisors is an integer number (12454400).

Almost surely, 2212424540 is an apocalyptic number.

212424540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212424540 is an abundant number, since it is smaller than the sum of its proper divisors (385386660).

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

212424540 is a wasteful number, since it uses less digits than its factorization.

212424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 212424540 is about 14574.7912506492. The cubic root of 212424540 is about 596.6709521173.

Adding to 212424540 its reverse (45424212), we get a palindrome (257848752).

The spelling of 212424540 in words is "two hundred twelve million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5970 11940 17791 35582 53373 71164 88955 106746 177910 213492 266865 355820 533730 1067460 3540409 7080818 10621227 14161636 17702045 21242454 35404090 42484908 53106135 70808180 106212270 212424540