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22040343408 = 2435386310039
BaseRepresentation
bin10100100001101101…
…001111001101110000
32002220000210110020010
4110201231033031300
5330114311442113
614043013014520
71410115553646
oct244155171560
962800713203
1022040343408
119390221246
124331324440
132103308c25
1410d1283196
1588ee4c1c3
hex521b4f370

22040343408 has 80 divisors (see below), whose sum is σ = 58084853760. Its totient is φ = 7199092992.

The previous prime is 22040343401. The next prime is 22040343427. The reversal of 22040343408 is 80434304022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040343401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190453 + ... + 2200491.

It is an arithmetic number, because the mean of its divisors is an integer number (726060672).

Almost surely, 222040343408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22040343408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29042426880).

22040343408 is an abundant number, since it is smaller than the sum of its proper divisors (36044510352).

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

22040343408 is a wasteful number, since it uses less digits than its factorization.

22040343408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10960 counting only the distinct ones).

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

The spelling of 22040343408 in words is "twenty-two billion, forty million, three hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 863 1272 1726 2544 2589 3452 5178 6904 10039 10356 13808 20078 20712 30117 40156 41424 45739 60234 80312 91478 120468 137217 160624 182956 240936 274434 365912 481872 532067 548868 731824 1064134 1097736 1596201 2128268 2195472 3192402 4256536 6384804 8513072 8663657 12769608 17327314 25539216 25990971 34654628 51981942 69309256 103963884 138618512 207927768 415855536 459173821 918347642 1377521463 1836695284 2755042926 3673390568 5510085852 7346781136 11020171704 22040343408