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220220322138 = 23271892398101
BaseRepresentation
bin1100110100011000100…
…1110111000101011010
3210001102112101110220100
43031012021313011122
512102002400302023
6245100125440230
721624156565335
oct3150611670532
9701375343810
10220220322138
11854386a3533
123681b410076
13179c754802b
14a93175961c
155add710c43
hex334627715a

220220322138 has 96 divisors (see below), whose sum is σ = 491408985600. Its totient is φ = 71251488000.

The previous prime is 220220322107. The next prime is 220220322139. The reversal of 220220322138 is 831223022022.

220220322138 is a `hidden beast` number, since 2 + 202 + 2 + 0 + 322 + 138 = 666.

220220322138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220220322139) 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, 27180288 + ... + 27188388.

It is an arithmetic number, because the mean of its divisors is an integer number (5118843600).

Almost surely, 2220220322138 is an apocalyptic number.

220220322138 is an abundant number, since it is smaller than the sum of its proper divisors (271188663462).

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

220220322138 is a wasteful number, since it uses less digits than its factorization.

220220322138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 220220322138 in words is "two hundred twenty billion, two hundred twenty million, three hundred twenty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 71 89 142 178 213 239 267 426 478 534 639 717 801 1278 1434 1602 2151 4302 6319 8101 12638 16202 16969 18957 21271 24303 33938 37914 42542 48606 50907 56871 63813 72909 101814 113742 127626 145818 152721 191439 305442 382878 575171 720989 1150342 1441978 1510241 1725513 1936139 2162967 3020482 3451026 3872278 4325934 4530723 5176539 5808417 6488901 9061446 10353078 11616834 12977802 13592169 17425251 27184338 34850502 51190219 102380438 137465869 153570657 172316371 274931738 307141314 344632742 412397607 460711971 516949113 824795214 921423942 1033898226 1237192821 1550847339 2474385642 3101694678 12234462341 24468924682 36703387023 73406774046 110110161069 220220322138