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200240300430 = 232531193371869
BaseRepresentation
bin1011101001111101000…
…0001000000110001110
3201010212002110012201100
42322133100020012032
511240043004103210
6231553352323530
720316066320232
oct2723720100616
9633762405640
10200240300430
1177a1547a4a5
12329840a35a6
1315b62046991
149997d945c2
15531e5de5c0
hex2e9f40818e

200240300430 has 96 divisors (see below), whose sum is σ = 540205136640. Its totient is φ = 51407032320.

The previous prime is 200240300387. The next prime is 200240300443. The reversal of 200240300430 is 34003042002.

200240300430 is a `hidden beast` number, since 200 + 2 + 4 + 0 + 30 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 352536 + ... + 724404.

It is an arithmetic number, because the mean of its divisors is an integer number (5627136840).

Almost surely, 2200240300430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200240300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270102568320).

200240300430 is an abundant number, since it is smaller than the sum of its proper divisors (339964836210).

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

200240300430 is a wasteful number, since it uses less digits than its factorization.

200240300430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372106 (or 372103 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200240300430 its reverse (34003042002), we get a palindrome (234243342432).

The spelling of 200240300430 in words is "two hundred billion, two hundred forty million, three hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 193 279 310 386 465 558 579 930 965 1158 1395 1737 1930 2790 2895 3474 5790 5983 8685 11966 17370 17949 29915 35898 53847 59830 89745 107694 179490 269235 371869 538470 743738 1115607 1859345 2231214 3346821 3718690 5578035 6693642 11156070 11527939 16734105 23055878 33468210 34583817 57639695 69167634 71770717 103751451 115279390 143541434 172919085 207502902 215312151 345838170 358853585 430624302 518757255 645936453 717707170 1037514510 1076560755 1291872906 2153121510 2224892227 3229682265 4449784454 6459364530 6674676681 11124461135 13349353362 20024030043 22248922270 33373383405 40048060086 66746766810 100120150215 200240300430