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212413432220 = 225114123549161
BaseRepresentation
bin1100010111010011010…
…0111100000110011100
3202022021110100101020022
43011310310330012130
511440010314312340
6241325325011312
721226542245333
oct3056464740634
9668243311208
10212413432220
11820a19325a0
12352009b3b38
1317052019142
14a3d099cd1a
1557d315d3b5
hex3174d3c19c

212413432220 has 48 divisors (see below), whose sum is σ = 498488661216. Its totient is φ = 75357312000.

The previous prime is 212413432199. The next prime is 212413432229. The reversal of 212413432220 is 22234314212.

212413432220 is digitally balanced in base 2, 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 212413432220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212413432229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11765561 + ... + 11783600.

It is an arithmetic number, because the mean of its divisors is an integer number (10385180442).

Almost surely, 2212413432220 is an apocalyptic number.

212413432220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413432220 is an abundant number, since it is smaller than the sum of its proper divisors (286075228996).

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

212413432220 is a wasteful number, since it uses less digits than its factorization.

212413432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23549222 (or 23549220 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212413432220 its reverse (22234314212), we get a palindrome (234647746432).

The spelling of 212413432220 in words is "two hundred twelve billion, four hundred thirteen million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 23549161 47098322 94196644 117745805 235491610 259040771 470983220 518081542 965515601 1036163084 1295203855 1931031202 2590407710 3862062404 4827578005 5180815420 9655156010 10620671611 19310312020 21241343222 42482686444 53103358055 106206716110 212413432220