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200968482 = 231113713299
BaseRepresentation
bin10111111101010…
…00100100100010
3112000011020221010
423332220210202
5402421442412
631535241350
74660126641
oct1376504442
9460136833
10200968482
11a3494660
1257379256
1332836080
141c995358
151299b33c
hexbfa8922

200968482 has 64 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 55406400.

The previous prime is 200968459. The next prime is 200968499. The reversal of 200968482 is 284869002.

200968482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 200968482.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59269 + ... + 62567.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2200968482 is an apocalyptic number.

200968482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200968482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

200968482 is an abundant number, since it is smaller than the sum of its proper divisors (278033118).

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

200968482 is a wasteful number, since it uses less digits than its factorization.

200968482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 200968482 is about 14176.3352810238. The cubic root of 200968482 is about 585.7459809085.

The spelling of 200968482 in words is "two hundred million, nine hundred sixty-eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 142 143 213 286 426 429 781 858 923 1562 1846 2343 2769 3299 4686 5538 6598 9897 10153 19794 20306 30459 36289 42887 60918 72578 85774 108867 128661 217734 234229 257322 468458 471757 702687 943514 1405374 1415271 2576519 2830542 3044977 5153038 6089954 7729557 9134931 15459114 18269862 33494747 66989494 100484241 200968482