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22323122420214 = 237111271043336467
BaseRepresentation
bin1010001001101100000011…
…10010000011100111110110
32221001001212210011000220210
411010312001302003213312
510411220223314421324
6115251033442010250
74462535532543210
oct504660162034766
987031783130823
1022323122420214
117127201709710
122606454646986
13c5c0a4bc9555
14572632ac75b0
1528aa20464d29
hex144d81c839f6

22323122420214 has 128 divisors (see below), whose sum is σ = 56108056707072. Its totient is φ = 5751849277440.

The previous prime is 22323122420177. The next prime is 22323122420303. The reversal of 22323122420214 is 41202422132322.

It is a super-3 number, since 3×223231224202143 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612127609 + ... + 612164075.

It is an arithmetic number, because the mean of its divisors is an integer number (438344193024).

Almost surely, 222323122420214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323122420214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28054028353536).

22323122420214 is an abundant number, since it is smaller than the sum of its proper divisors (33784934286858).

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

22323122420214 is a wasteful number, since it uses less digits than its factorization.

22323122420214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47050.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22323122420214 its reverse (41202422132322), we get a palindrome (63525544552536).

The spelling of 22323122420214 in words is "twenty-two trillion, three hundred twenty-three billion, one hundred twenty-two million, four hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 127 154 231 254 381 462 762 889 1397 1778 2667 2794 4191 5334 8382 9779 10433 19558 20866 29337 31299 36467 58674 62598 72934 73031 109401 114763 146062 218802 219093 229526 255269 344289 401137 438186 510538 688578 765807 802274 803341 1203411 1324991 1531614 1606682 2406822 2410023 2649982 2807959 3974973 4631309 4820046 5615918 7949946 8423877 9262618 9274937 13893927 14574901 16847754 18549874 27787854 27824811 29149802 32419163 43724703 50944399 55649622 64838326 87449406 97257489 101888798 102024307 152833197 194514978 204048614 305666394 306072921 356610793 380460211 612145842 713221586 760920422 1069832379 1141380633 2139664758 2282761266 2663221477 4185062321 5326442954 7989664431 8370124642 12555186963 15979328862 25110373926 29295436247 48318446797 58590872494 87886308741 96636893594 144955340391 175772617482 289910680782 338229127579 531502914767 676458255158 1014687382737 1063005829534 1594508744301 2029374765474 3189017488602 3720520403369 7441040806738 11161561210107 22323122420214