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212264563288 = 232347160115331
BaseRepresentation
bin1100010110101111110…
…1000011001001011000
3202021220002020001110011
43011223331003021120
511434204212011123
6241302450131304
721223054006201
oct3055375031130
9667802201404
10212264563288
11820258a3118
123517ab80b34
131702a22500b
14a3b8cca5a8
1557c5053e0d
hex316bf43258

212264563288 has 64 divisors (see below), whose sum is σ = 424429009920. Its totient is φ = 99289344000.

The previous prime is 212264563283. The next prime is 212264563289. The reversal of 212264563288 is 882365462212.

212264563288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212264563283) 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, 13837783 + ... + 13853113.

It is an arithmetic number, because the mean of its divisors is an integer number (6631703280).

Almost surely, 2212264563288 is an apocalyptic number.

It is an amenable number.

212264563288 is a deficient number, since it is larger than the sum of its proper divisors (212164446632).

212264563288 is a wasteful number, since it uses less digits than its factorization.

212264563288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008 (or 17004 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The spelling of 212264563288 in words is "two hundred twelve billion, two hundred sixty-four million, five hundred sixty-three thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 23 46 47 92 94 184 188 376 1081 1601 2162 3202 4324 6404 8648 12808 15331 30662 36823 61324 73646 75247 122648 147292 150494 294584 300988 352613 601976 705226 720557 1410452 1441114 1730681 2820904 2882228 3461362 5764456 6922724 13845448 16572811 24544931 33145622 49089862 66291244 98179724 132582488 196359448 564533413 1129066826 1153611757 2258133652 2307223514 4516267304 4614447028 9228894056 26533070411 53066140822 106132281644 212264563288