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22000311198 = 2323171737607
BaseRepresentation
bin10100011111010100…
…100001101110011110
32002210020110121100200
4110133110201232132
5330024034424243
614035023004330
71406121362655
oct243724415636
962706417320
1022000311198
11936a669478
12431ba396a6
1320c7c30828
1410c9c2219c
1588b690ad3
hex51f521b9e

22000311198 has 96 divisors (see below), whose sum is σ = 50588209152. Its totient is φ = 6900163200.

The previous prime is 22000311191. The next prime is 22000311211. The reversal of 22000311198 is 89111300022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000311191) 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, 2888311 + ... + 2895917.

It is an arithmetic number, because the mean of its divisors is an integer number (526960512).

Almost surely, 222000311198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000311198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294104576).

22000311198 is an abundant number, since it is smaller than the sum of its proper divisors (28587897954).

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

22000311198 is a wasteful number, since it uses less digits than its factorization.

22000311198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 22000311198 in words is "twenty-two billion, three hundred eleven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 62 71 73 93 142 146 186 213 219 279 426 438 558 639 657 1278 1314 2201 2263 4402 4526 5183 6603 6789 7607 10366 13206 13578 15214 15549 19809 20367 22821 31098 39618 40734 45642 46647 68463 93294 136926 160673 235817 321346 471634 482019 540097 555311 707451 964038 1080194 1110622 1414902 1446057 1620291 1665933 2122353 2892114 3240582 3331866 4244706 4860873 4997799 9721746 9995598 16743007 17214641 33486014 34429282 39427081 50229021 51643923 78854162 100458042 103287846 118281243 150687063 154931769 236562486 301374126 309863538 354843729 709687458 1222239511 2444479022 3666718533 7333437066 11000155599 22000311198