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220132222422 = 237127268715359
BaseRepresentation
bin1100110100000011100…
…1110010010111010110
3210001012101121112210220
43031000321302113112
512101312322104142
6245043301255210
721622040006010
oct3150071622726
9701171545726
10220132222422
11853a299a952
12367b5a04506
13179b2210018
14a923b851b0
155ad5b0c2ec
hex3340e725d6

220132222422 has 64 divisors (see below), whose sum is σ = 507343011840. Its totient is φ = 62372401056.

The previous prime is 220132222421. The next prime is 220132222447. The reversal of 220132222422 is 224222231022.

220132222422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220132222392 and 220132222401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132222421) 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, 14324779 + ... + 14340137.

It is an arithmetic number, because the mean of its divisors is an integer number (7927234560).

Almost surely, 2220132222422 is an apocalyptic number.

220132222422 is an abundant number, since it is smaller than the sum of its proper divisors (287210789418).

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

220132222422 is a wasteful number, since it uses less digits than its factorization.

220132222422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18185.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220132222422 its reverse (224222231022), we get a palindrome (444354453444).

The spelling of 220132222422 in words is "two hundred twenty billion, one hundred thirty-two million, two hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 762 889 1778 2667 2687 5334 5374 8061 15359 16122 18809 30718 37618 46077 56427 92154 107513 112854 215026 322539 341249 645078 682498 1023747 1950593 2047494 2388743 3901186 4777486 5851779 7166229 11703558 13654151 14332458 27308302 40962453 41269633 81924906 82539266 123808899 247617798 288887431 577774862 866662293 1733324586 5241243391 10482486782 15723730173 31447460346 36688703737 73377407474 110066111211 220132222422