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200659968 = 2103221773
BaseRepresentation
bin10111111010111…
…01010000000000
3111222120120201200
423331131100000
5402332104333
631524501200
74654403325
oct1375352000
9458516650
10200659968
11a32a3893
125724a800
1332758812
141c914b4c
1512939c13
hexbf5d400

200659968 has 66 divisors (see below), whose sum is σ = 579427914. Its totient is φ = 66883584.

The previous prime is 200659957. The next prime is 200660011. The reversal of 200659968 is 869956002.

It can be written as a sum of positive squares in only one way, i.e., 137170944 + 63489024 = 11712^2 + 7968^2 .

It is a super-2 number, since 2×2006599682 = 80528845515522048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1671 + ... + 20102.

Almost surely, 2200659968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289713957).

200659968 is an abundant number, since it is smaller than the sum of its proper divisors (378767946).

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

200659968 is a wasteful number, since it uses less digits than its factorization.

200659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21799 (or 21778 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 200659968 is about 14165.4497987180. The cubic root of 200659968 is about 585.4460941060.

The spelling of 200659968 in words is "two hundred million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 21773 43546 65319 87092 130638 174184 195957 261276 348368 391914 522552 696736 783828 1045104 1393472 1567656 2090208 2786944 3135312 4180416 5573888 6270624 8360832 11147776 12541248 16721664 22295552 25082496 33443328 50164992 66886656 100329984 200659968