Search a number
-
+
243410022300 = 2235210354714401
BaseRepresentation
bin1110001010110001011…
…1100010111110011100
3212021021122220022012010
43202230113202332130
512442000431203200
6303453201311220
723404633023534
oct3425427427634
9767248808163
10243410022300
1194258680495
123b211635510
1319c519c62c3
14bad15084c4
1564e94e3150
hex38ac5e2f9c

243410022300 has 144 divisors (see below), whose sum is σ = 712453344512. Its totient is φ = 64157184000.

The previous prime is 243410022277. The next prime is 243410022301. The reversal of 243410022300 is 3220014342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243410022301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16895100 + ... + 16909500.

Almost surely, 2243410022300 is an apocalyptic number.

243410022300 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 243410022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356226672256).

243410022300 is an abundant number, since it is smaller than the sum of its proper divisors (469043322212).

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

243410022300 is a wasteful number, since it uses less digits than its factorization.

243410022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 243410022300 its reverse (3220014342), we get a palindrome (246630036642).

The spelling of 243410022300 in words is "two hundred forty-three billion, four hundred ten million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 547 618 1030 1094 1236 1545 1641 2060 2188 2575 2735 3090 3282 5150 5470 6180 6564 7725 8205 10300 10940 13675 14401 15450 16410 27350 28802 30900 32820 41025 43203 54700 56341 57604 72005 82050 86406 112682 144010 164100 169023 172812 216015 225364 281705 288020 338046 360025 432030 563410 676092 720050 845115 864060 1080075 1126820 1408525 1440100 1483303 1690230 2160150 2817050 2966606 3380460 4225575 4320300 4449909 5634100 5933212 7416515 7877347 8451150 8899818 14833030 15754694 16902300 17799636 22249545 23632041 29666060 31509388 37082575 39386735 44499090 47264082 74165150 78773470 88998180 94528164 111247725 118160205 148330300 157546940 196933675 222495450 236320410 393867350 444990900 472640820 590801025 787734700 811366741 1181602050 1622733482 2363204100 2434100223 3245466964 4056833705 4868200446 8113667410 9736400892 12170501115 16227334820 20284168525 24341002230 40568337050 48682004460 60852505575 81136674100 121705011150 243410022300