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212233656415 = 5118317921451
BaseRepresentation
bin1100010110101000011…
…1001001100001011111
3202021210221001211012011
43011222013021201133
511434123304001130
6241255423452051
721222230212534
oct3055207114137
9667727054164
10212233656415
118200a403350
1235170757027
13170239c3321
14a3b4b62d8b
1557c249b52a
hex316a1c985f

212233656415 has 48 divisors (see below), whose sum is σ = 282955026816. Its totient is φ = 151535672000.

The previous prime is 212233656413. The next prime is 212233656419. The reversal of 212233656415 is 514656332212.

212233656415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212233656415 - 21 = 212233656413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233656413) 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 47 ways as a sum of consecutive naturals, for example, 146266440 + ... + 146267890.

It is an arithmetic number, because the mean of its divisors is an integer number (5894896392).

Almost surely, 2212233656415 is an apocalyptic number.

212233656415 is a deficient number, since it is larger than the sum of its proper divisors (70721370401).

212233656415 is a wasteful number, since it uses less digits than its factorization.

212233656415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1729 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

Adding to 212233656415 its reverse (514656332212), we get a palindrome (726889988627).

The spelling of 212233656415 in words is "two hundred twelve billion, two hundred thirty-three million, six hundred fifty-six thousand, four hundred fifteen".

Divisors: 1 5 11 55 83 179 415 895 913 1451 1969 4565 7255 9845 14857 15961 32041 74285 79805 120433 160205 163427 259729 352451 602165 817135 1298645 1324763 1762255 2659403 2857019 6623815 13297015 14285095 21557507 29253433 46491491 107787535 146267165 232457455 237132577 511406401 1185662885 2557032005 3858793753 19293968765 42446731283 212233656415