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200032014 = 237213199263
BaseRepresentation
bin10111110110000…
…11111100001110
3111221101200100010
423323003330032
5402202011024
631503214050
74646146500
oct1373037416
9457350303
10200032014
11a2a05016
1256ba7326
1332598a50
141c7cdd70
1512863b29
hexbec3f0e

200032014 has 96 divisors (see below), whose sum is σ = 505612800. Its totient is φ = 52291008.

The previous prime is 200032003. The next prime is 200032037. The reversal of 200032014 is 410230002.

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, 760447 + ... + 760709.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2200032014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200032014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

200032014 is an abundant number, since it is smaller than the sum of its proper divisors (305580786).

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

200032014 is a wasteful number, since it uses less digits than its factorization.

200032014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200032014 is about 14143.2674442648. The cubic root of 200032014 is about 584.8347491458.

Adding to 200032014 its reverse (410230002), we get a palindrome (610262016).

The spelling of 200032014 in words is "two hundred million, thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 199 263 273 294 398 526 546 597 637 789 1194 1274 1393 1578 1841 1911 2587 2786 3419 3682 3822 4179 5174 5523 6838 7761 8358 9751 10257 11046 12887 15522 18109 19502 20514 23933 25774 29253 36218 38661 47866 52337 54327 58506 71799 77322 104674 108654 126763 143598 157011 167531 253526 314022 335062 366359 380289 502593 680381 732718 760578 1005186 1099077 1360762 2041143 2198154 2564513 4082286 4762667 5129026 7693539 9525334 14288001 15387078 28576002 33338669 66677338 100016007 200032014