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212302445264 = 24713252157839
BaseRepresentation
bin1100010110111000110…
…1100011101011010000
3202021222201111122202022
43011232031203223100
511434243411222024
6241310322111012
721224024003240
oct3055615435320
9667881448668
10212302445264
1182045217438
123518b7ab468
13170350297a0
14a3bdd4bb20
1557c853835e
hex316e363ad0

212302445264 has 80 divisors (see below), whose sum is σ = 506469250560. Its totient is φ = 83953013760.

The previous prime is 212302445203. The next prime is 212302445273. The reversal of 212302445264 is 462544203212.

212302445264 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 an unprimeable number.

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, 3641657 + ... + 3699495.

It is an arithmetic number, because the mean of its divisors is an integer number (6330865632).

Almost surely, 2212302445264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212302445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253234625280).

212302445264 is an abundant number, since it is smaller than the sum of its proper divisors (294166805296).

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

212302445264 is a wasteful number, since it uses less digits than its factorization.

212302445264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60388 (or 60382 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 212302445264 its reverse (462544203212), we get a palindrome (674846648476).

The spelling of 212302445264 in words is "two hundred twelve billion, three hundred two million, four hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2521 5042 10084 17647 20168 32773 35294 40336 57839 65546 70588 115678 131092 141176 229411 231356 262184 282352 404873 458822 462712 524368 751907 809746 917644 925424 1503814 1619492 1835288 3007628 3238984 3670576 5263349 6015256 6477968 10526698 12030512 21053396 42106792 84213584 145812119 291624238 583248476 1020684833 1166496952 1895557547 2041369666 2332993904 3791115094 4082739332 7582230188 8165478664 13268902829 15164460376 16330957328 26537805658 30328920752 53075611316 106151222632 212302445264