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200001330 = 232523531823
BaseRepresentation
bin10111110101111…
…00011100110010
3111221100010020200
423322330130302
5402200020310
631502420030
74645661154
oct1372743462
9457303220
10200001330
11a2993a61
1256b91616
1332587aa9
141c7c2ad4
15128599c0
hexbebc732

200001330 has 96 divisors (see below), whose sum is σ = 553153536. Its totient is φ = 50024832.

The previous prime is 200001283. The next prime is 200001337. The reversal of 200001330 is 33100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200001337) by changing a digit.

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, 108799 + ... + 110621.

It is an arithmetic number, because the mean of its divisors is an integer number (5762016).

Almost surely, 2200001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276576768).

200001330 is an abundant number, since it is smaller than the sum of its proper divisors (353152206).

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

200001330 is a wasteful number, since it uses less digits than its factorization.

200001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 200001330 is about 14142.1826462537. The cubic root of 200001330 is about 584.8048439542.

Adding to 200001330 its reverse (33100002), we get a palindrome (233101332).

The spelling of 200001330 in words is "two hundred million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 954 1035 1219 1590 1823 2070 2385 2438 3646 3657 4770 5469 6095 7314 9115 10938 10971 12190 16407 18230 18285 21942 27345 32814 36570 41929 54690 54855 82035 83858 96619 109710 125787 164070 193238 209645 251574 289857 377361 419290 483095 579714 628935 754722 869571 966190 1257870 1449285 1739142 1886805 2222237 2898570 3773610 4347855 4444474 6666711 8695710 11111185 13333422 20000133 22222370 33333555 40000266 66667110 100000665 200001330