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220002000400 = 24527136044011
BaseRepresentation
bin1100110011100100100…
…1000001111000010000
3210000212022120120210001
43030321021001320100
512101031003003100
6245022330215344
721615566101660
oct3147111017020
9700768516701
10220002000400
1185336437146
123677a284554
1317991247480
14a9107681a0
155ac9487d6a
hex3339241e10

220002000400 has 120 divisors (see below), whose sum is σ = 650529099584. Its totient is φ = 69626995200.

The previous prime is 220002000389. The next prime is 220002000401. The reversal of 220002000400 is 4000200022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220002000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2985606 + ... + 3058405.

Almost surely, 2220002000400 is an apocalyptic number.

220002000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002000400 is an abundant number, since it is smaller than the sum of its proper divisors (430527099184).

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

220002000400 is a wasteful number, since it uses less digits than its factorization.

220002000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044049 (or 6044038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 220002000400 its reverse (4000200022), we get a palindrome (224002200422).

The spelling of 220002000400 in words is "two hundred twenty billion, two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 6044011 12088022 24176044 30220055 42308077 48352088 60440110 78572143 84616154 96704176 120880220 151100275 157144286 169232308 211540385 241760440 302200550 314288572 338464616 392860715 423080770 483520880 550005001 604401100 628577144 676929232 785721430 846161540 1057701925 1100010002 1208802200 1257154288 1571442860 1692323080 1964303575 2115403850 2200020004 2417604400 2750025005 3142885720 3384646160 3928607150 4230807700 4400040008 5500050010 6285771440 7857214300 8461615400 8800080016 11000100020 13750125025 15714428600 16923230800 22000200040 27500250050 31428857200 44000400080 55000500100 110001000200 220002000400