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212212434320 = 24524111006869
BaseRepresentation
bin1100010110100011011…
…0001100010110010000
3202021202110010121221122
43011220312030112100
511434102340344240
6241253344541412
721221551633535
oct3055066142620
9667673117848
10212212434320
1181aa9428927
1235165621868
131701c4a2883
14a3b1ddad8c
1557c06a84b5
hex3168d8c590

212212434320 has 40 divisors (see below), whose sum is σ = 495441232440. Its totient is φ = 84532746240.

The previous prime is 212212434283. The next prime is 212212434323. The reversal of 212212434320 is 23434212212.

It can be written as a sum of positive squares in 4 ways, for example, as 90269000704 + 121943433616 = 300448^2 + 349204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 212212434320.

It is not an unprimeable number, because it can be changed into a prime (212212434323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5484155 + ... + 5522714.

It is an arithmetic number, because the mean of its divisors is an integer number (12386030811).

Almost surely, 2212212434320 is an apocalyptic number.

212212434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212434320 is an abundant number, since it is smaller than the sum of its proper divisors (283228798120).

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

212212434320 is a wasteful number, since it uses less digits than its factorization.

212212434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007123 (or 11007117 counting only the distinct ones).

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

Adding to 212212434320 its reverse (23434212212), we get a palindrome (235646646532).

The spelling of 212212434320 in words is "two hundred twelve billion, two hundred twelve million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 11006869 22013738 44027476 55034345 88054952 110068690 176109904 220137380 440274760 880549520 2652655429 5305310858 10610621716 13263277145 21221243432 26526554290 42442486864 53053108580 106106217160 212212434320