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212205342255 = 35294111898253
BaseRepresentation
bin1100010110100001101…
…1001000111000101111
3202021201221210022110120
43011220123020320233
511434044031423010
6241252532540023
721221434435134
oct3055033107057
9667657708416
10212205342255
1181aa5424515
1235163181613
131701ab8b79a
14a3b10b258b
1557bec56e70
hex31686c8e2f

212205342255 has 32 divisors (see below), whose sum is σ = 359803200960. Its totient is φ = 106608337920.

The previous prime is 212205342241. The next prime is 212205342257. The reversal of 212205342255 is 552243502212.

212205342255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-212205342255 is a prime.

It is a super-2 number, since 2×2122053422552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212205342257) 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 31 ways as a sum of consecutive naturals, for example, 5931292 + ... + 5966961.

It is an arithmetic number, because the mean of its divisors is an integer number (11243850030).

Almost surely, 2212205342255 is an apocalyptic number.

212205342255 is a deficient number, since it is larger than the sum of its proper divisors (147597858705).

212205342255 is a wasteful number, since it uses less digits than its factorization.

212205342255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11898331.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 212205342255 its reverse (552243502212), we get a palindrome (764448844467).

The spelling of 212205342255 in words is "two hundred twelve billion, two hundred five million, three hundred forty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 15 29 41 87 123 145 205 435 615 1189 3567 5945 17835 11898253 35694759 59491265 178473795 345049337 487828373 1035148011 1463485119 1725246685 2439141865 5175740055 7317425595 14147022817 42441068451 70735114085 212205342255