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224300204040 = 2335111571082321
BaseRepresentation
bin1101000011100101010…
…1011000000000001000
3210102221212101221201110
43100321111120000020
512133331323012130
6251013031450320
722130240163633
oct3207125300010
9712855357643
10224300204040
1187141688160
12375798269a0
13181c7888133
14abdb544c1a
155c7b9b4ab0
hex3439558008

224300204040 has 128 divisors (see below), whose sum is σ = 738749704320. Its totient is φ = 54029414400.

The previous prime is 224300204021. The next prime is 224300204069. The reversal of 224300204040 is 40402003422.

It is a super-4 number, since 4×2243002040404 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224300203998 and 224300204016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333921 + ... + 748400.

It is an arithmetic number, because the mean of its divisors is an integer number (5771482065).

Almost surely, 2224300204040 is an apocalyptic number.

224300204040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224300204040 is an abundant number, since it is smaller than the sum of its proper divisors (514449500280).

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

224300204040 is a wasteful number, since it uses less digits than its factorization.

224300204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082503 (or 1082499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 224300204040 its reverse (40402003422), we get a palindrome (264702207462).

The spelling of 224300204040 in words is "two hundred twenty-four billion, three hundred million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 157 165 220 264 314 330 440 471 628 660 785 942 1256 1320 1570 1727 1884 2355 3140 3454 3768 4710 5181 6280 6908 8635 9420 10362 13816 17270 18840 20724 25905 34540 41448 51810 69080 103620 207240 1082321 2164642 3246963 4329284 5411605 6493926 8658568 10823210 11905531 12987852 16234815 21646420 23811062 25975704 32469630 35716593 43292840 47622124 59527655 64939260 71433186 95244248 119055310 129878520 142866372 169924397 178582965 238110620 285732744 339848794 357165930 476221240 509773191 679697588 714331860 849621985 1019546382 1359395176 1428663720 1699243970 1869168367 2039092764 2548865955 3398487940 3738336734 4078185528 5097731910 5607505101 6796975880 7476673468 9345841835 10195463820 11215010202 14953346936 18691683670 20390927640 22430020404 28037525505 37383367340 44860040808 56075051010 74766734680 112150102020 224300204040