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223240240440 = 23325788587397
BaseRepresentation
bin1100111111101000100…
…1111011110100111000
3210100012222220020000100
43033322021323310320
512124144000143230
6250315525035400
722062046510020
oct3177211736470
9710188806010
10223240240440
1186748328888
1237322855b60
13180890b4739
14ab3a868a80
155c188db660
hex33fa27bd38

223240240440 has 96 divisors (see below), whose sum is σ = 829178045280. Its totient is φ = 51026340096.

The previous prime is 223240240439. The next prime is 223240240459. The reversal of 223240240440 is 44042042322.

It is a super-3 number, since 3×2232402404403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44291179 + ... + 44296218.

It is an arithmetic number, because the mean of its divisors is an integer number (8637271305).

Almost surely, 2223240240440 is an apocalyptic number.

223240240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223240240440 is an abundant number, since it is smaller than the sum of its proper divisors (605937804840).

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

223240240440 is a wasteful number, since it uses less digits than its factorization.

223240240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88587421 (or 88587414 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 223240240440 its reverse (44042042322), we get a palindrome (267282282762).

The spelling of 223240240440 in words is "two hundred twenty-three billion, two hundred forty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 88587397 177174794 265762191 354349588 442936985 531524382 620111779 708699176 797286573 885873970 1063048764 1240223558 1328810955 1594573146 1771747940 1860335337 2126097528 2480447116 2657621910 3100558895 3189146292 3543495880 3720670674 3986432865 4960894232 5315243820 5581006011 6201117790 6378292584 7441341348 7972865730 9301676685 10630487640 11162012022 12402235580 14882682696 15945731460 18603353370 22324024044 24804471160 27905030055 31891462920 37206706740 44648048088 55810060110 74413413480 111620120220 223240240440