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22133220114240 = 26345853905097
BaseRepresentation
bin1010000100001010010101…
…01110001111111101000000
32220100220201011110100120000
411002011022232033331000
510400112313322123430
6115023505544320000
74443033553560324
oct502051256177500
986326634410500
1022133220114240
117063711819494
122595696773000
13c471cc8b1871
14567379b19984
15285b08749e60
hex14214ab8ff40

22133220114240 has 140 divisors (see below), whose sum is σ = 78731757845796. Its totient is φ = 5902192023552.

The previous prime is 22133220114233. The next prime is 22133220114293. The reversal of 22133220114240 is 4241102233122.

22133220114240 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 220 + 11 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11794114273536 + 10339105840704 = 3434256^2 + 3215448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426926629 + ... + 426978468.

Almost surely, 222133220114240 is an apocalyptic number.

22133220114240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133220114240 is an abundant number, since it is smaller than the sum of its proper divisors (56598537731556).

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

22133220114240 is an equidigital number, since it uses as much as digits as its factorization.

22133220114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853905126 (or 853905107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22133220114240 its reverse (4241102233122), we get a palindrome (26374322347362).

The spelling of 22133220114240 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred twenty million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 853905097 1707810194 2561715291 3415620388 4269525485 5123430582 6831240776 7685145873 8539050970 10246861164 12808576455 13662481552 15370291746 17078101940 20493722328 23055437619 25617152910 27324963104 30740583492 34156203880 38425729365 40987444656 46110875238 51234305820 54649926208 61481166984 68312407760 69166312857 76851458730 81974889312 92221750476 102468611640 115277188095 122962333968 136624815520 138332625714 153702917460 163949778624 184443500952 204937223280 230554376190 245924667936 273249631040 276665251428 307405834920 345831564285 368887001904 409874446560 461108752380 491849335872 553330502856 614811669840 691663128570 737774003808 819748893120 922217504760 1106661005712 1229623339680 1383326257140 1475548007616 1844435009520 2213322011424 2459246679360 2766652514280 3688870019040 4426644022848 5533305028560 7377740038080 11066610057120 22133220114240