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243220313000 = 2353788139439
BaseRepresentation
bin1110001010000100001…
…1110111001110101000
3212020210102221001221202
43202201003313032220
512441103400004000
6303422303223332
723400140356310
oct3424103671650
9766712831852
10243220313000
1194170587045
123b179ba7b48
1319c21602c92
14bab4244440
1564d7a1cdd5
hex38a10f73a8

243220313000 has 128 divisors (see below), whose sum is σ = 651195417600. Its totient is φ = 83293056000.

The previous prime is 243220312967. The next prime is 243220313003. The reversal of 243220313000 is 313022342.

It is a super-2 number, since 2×2432203130002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (243220313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147281 + ... + 6186719.

It is an arithmetic number, because the mean of its divisors is an integer number (5087464200).

Almost surely, 2243220313000 is an apocalyptic number.

243220313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243220313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325597708800).

243220313000 is an abundant number, since it is smaller than the sum of its proper divisors (407975104600).

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

243220313000 is a wasteful number, since it uses less digits than its factorization.

243220313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40348 (or 40334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 243220313000 its reverse (313022342), we get a palindrome (243533335342).

The spelling of 243220313000 in words is "two hundred forty-three billion, two hundred twenty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 881 1000 1400 1750 1762 3500 3524 4405 6167 7000 7048 8810 12334 17620 22025 24668 30835 35240 39439 44050 49336 61670 78878 88100 110125 123340 154175 157756 176200 197195 220250 246680 276073 308350 315512 394390 440500 552146 616700 770875 788780 881000 985975 1104292 1233400 1380365 1541750 1577560 1971950 2208584 2760730 3083500 3943900 4929875 5521460 6167000 6901825 7887800 9859750 11042920 13803650 19719500 27607300 34509125 34745759 39439000 55214600 69018250 69491518 138036500 138983036 173728795 243220313 276073000 277966072 347457590 486440626 694915180 868643975 972881252 1216101565 1389830360 1737287950 1945762504 2432203130 3474575900 4343219875 4864406260 6080507825 6949151800 8686439750 9728812520 12161015650 17372879500 24322031300 30402539125 34745759000 48644062600 60805078250 121610156500 243220313000