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223635442140 = 2232511671685779
BaseRepresentation
bin1101000001000110110…
…1100000100111011100
3210101020112112112211100
43100101231200213130
512131001133122030
6250423043353100
722104615615405
oct3202155404734
9711215475740
10223635442140
1186930416760
1237413082790
131811cc35cb6
14ab771409ac
155c3d453360
hex3411b609dc

223635442140 has 144 divisors (see below), whose sum is σ = 751075678080. Its totient is φ = 53405447040.

The previous prime is 223635442123. The next prime is 223635442171. The reversal of 223635442140 is 41244536322.

223635442140 is a `hidden beast` number, since 2 + 2 + 3 + 635 + 4 + 4 + 2 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223635442095 and 223635442104.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 710230 + ... + 975549.

It is an arithmetic number, because the mean of its divisors is an integer number (5215803320).

Almost surely, 2223635442140 is an apocalyptic number.

223635442140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223635442140 is an abundant number, since it is smaller than the sum of its proper divisors (527440235940).

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

223635442140 is a wasteful number, since it uses less digits than its factorization.

223635442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685872 (or 1685867 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 223635442140 its reverse (41244536322), we get a palindrome (264879978462).

The spelling of 223635442140 in words is "two hundred twenty-three billion, six hundred thirty-five million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 26532 33165 44220 66330 132660 1685779 3371558 5057337 6743116 8428895 10114674 15172011 16857790 18543569 20229348 25286685 30344022 33715580 37087138 50573370 55630707 60688044 74174276 75860055 92717845 101146740 111261414 112947193 151720110 166892121 185435690 222522828 225894386 278153535 303440220 333784242 338841579 370871380 451788772 556307070 564735965 667568484 677683158 834460605 1016524737 1112614140 1129471930 1242419123 1355366316 1668921210 1694207895 2033049474 2258943860 2484838246 3337842420 3388415790 3727257369 4066098948 4969676492 5082623685 6212095615 6776831580 7454514738 10165247370 11181772107 12424191230 14909029476 18636286845 20330494740 22363544214 24848382460 37272573690 44727088428 55908860535 74545147380 111817721070 223635442140