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22224041342000 = 245337300324883
BaseRepresentation
bin1010000110110011100000…
…00101101111010000110000
32220200121010122121202101022
411003121300011233100300
510403104314040421000
6115133330022355012
74452430314352031
oct503316005572060
986617118552338
1022224041342000
117099187a5a103
1225ab20258ba68
13c529448a9c14
1456b913b0aa88
15288171c43585
hex14367016f430

22224041342000 has 80 divisors (see below), whose sum is σ = 55190103282912. Its totient is φ = 8649356601600.

The previous prime is 22224041341951. The next prime is 22224041342047. The reversal of 22224041342000 is 24314042222.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 150088442 + ... + 150236441.

Almost surely, 222224041342000 is an apocalyptic number.

22224041342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224041342000 is an abundant number, since it is smaller than the sum of its proper divisors (32966061940912).

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

22224041342000 is a wasteful number, since it uses less digits than its factorization.

22224041342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300324943 (or 300324927 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22224041342000 its reverse (24314042222), we get a palindrome (22248355384222).

The spelling of 22224041342000 in words is "twenty-two trillion, two hundred twenty-four billion, forty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 300324883 600649766 1201299532 1501624415 2402599064 3003248830 4805198128 6006497660 7508122075 11112020671 12012995320 15016244150 22224041342 24025990640 30032488300 37540610375 44448082684 55560103355 60064976600 75081220750 88896165368 111120206710 120129953200 150162441500 177792330736 222240413420 277800516775 300324883000 444480826840 555601033550 600649766000 888961653680 1111202067100 1389002583875 2222404134200 2778005167750 4444808268400 5556010335500 11112020671000 22224041342000