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2255800541640 = 2335191227433571
BaseRepresentation
bin100000110100111000001…
…100001010000111001000
321222122121121200202022220
4200310320030022013020
5243424334414313030
64444144522214040
7321655561142652
oct40647014120710
97878547622286
102255800541640
1179a7526628a8
12305233054320
1313494b294409
147b2777cd6d2
153da2a180a10
hex20d3830a1c8

2255800541640 has 128 divisors (see below), whose sum is σ = 6832817233920. Its totient is φ = 595759865600.

The previous prime is 2255800541633. The next prime is 2255800541647. The reversal of 2255800541640 is 461450085522.

It is an interprime number because it is at equal distance from previous prime (2255800541633) and next prime (2255800541647).

It is a junction number, because it is equal to n+sod(n) for n = 2255800541592 and 2255800541601.

It is not an unprimeable number, because it can be changed into a prime (2255800541647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4986055 + ... + 5419625.

It is an arithmetic number, because the mean of its divisors is an integer number (53381384640).

Almost surely, 22255800541640 is an apocalyptic number.

2255800541640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255800541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416408616960).

2255800541640 is an abundant number, since it is smaller than the sum of its proper divisors (4577016692280).

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

2255800541640 is a wasteful number, since it uses less digits than its factorization.

2255800541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434003 (or 433999 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 2255800541640 in words is "two trillion, two hundred fifty-five billion, eight hundred million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 227 382 454 573 681 764 908 955 1135 1146 1362 1528 1816 1910 2270 2292 2724 2865 3405 3820 4540 4584 5448 5730 6810 7640 9080 11460 13620 22920 27240 43357 86714 130071 173428 216785 260142 346856 433570 433571 520284 650355 867140 867142 1040568 1300710 1300713 1734280 1734284 2167855 2601420 2601426 3468568 4335710 5202840 5202852 6503565 8671420 10405704 13007130 17342840 26014260 52028520 82812061 98420617 165624122 196841234 248436183 295261851 331248244 393682468 414060305 492103085 496872366 590523702 662496488 787364936 828120610 984206170 993744732 1181047404 1242180915 1476309255 1656241220 1968412340 1987489464 2362094808 2484361830 2952618510 3312482440 3936824680 4968723660 5905237020 9937447320 11810474040 18798337847 37596675694 56395013541 75193351388 93991689235 112790027082 150386702776 187983378470 225580054164 281975067705 375966756940 451160108328 563950135410 751933513880 1127900270820 2255800541640