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221221440314 = 27316771831291
BaseRepresentation
bin1100111000000111010…
…0110100101100111010
3210011000022011112212022
43032001310310230322
512111030142042224
6245343331114442
721661034134250
oct3160164645472
9704008145768
10221221440314
1185901810426
1236a5a742a22
1317b26a87154
14a9c86b85d0
155b4b56365e
hex3381d34b3a

221221440314 has 128 divisors (see below), whose sum is σ = 408079171584. Its totient is φ = 87966648000.

The previous prime is 221221440299. The next prime is 221221440353. The reversal of 221221440314 is 413044122122.

221221440314 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 171356009 + ... + 171357299.

It is an arithmetic number, because the mean of its divisors is an integer number (3188118528).

Almost surely, 2221221440314 is an apocalyptic number.

221221440314 is a deficient number, since it is larger than the sum of its proper divisors (186857731270).

221221440314 is a wasteful number, since it uses less digits than its factorization.

221221440314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 221221440314 its reverse (413044122122), we get a palindrome (634265562436).

The spelling of 221221440314 in words is "two hundred twenty-one billion, two hundred twenty-one million, four hundred forty thousand, three hundred fourteen".

Divisors: 1 2 7 14 31 62 67 71 83 134 142 166 217 434 469 497 581 938 994 1162 1291 2077 2201 2573 2582 4154 4402 4757 5146 5561 5893 9037 9514 11122 11786 14539 15407 18011 18074 29078 30814 33299 36022 38927 40021 41251 66598 77854 80042 82502 86497 91661 107153 147467 172391 172994 182683 183322 214306 280147 294934 344782 365366 394831 560294 605479 641627 750071 789662 1032269 1206737 1210958 1278781 1283254 1500142 2064538 2413474 2557562 2681407 2763817 2841491 3321743 5362814 5527634 5682982 6141287 6643486 7179251 7607863 12239761 12282574 14358502 15215726 18769849 19890437 23252201 24479522 37539698 39780874 42989009 46504402 50254757 53255041 85678327 85978018 100509514 106510082 171356654 190379897 222556781 235843753 380759794 445113562 471687506 509726821 1019453642 1332659279 1557897467 1650906271 2665318558 3115794934 3301812542 3568087747 7136175494 15801531451 31603062902 110610720157 221221440314