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200512116 = 223272197577
BaseRepresentation
bin10111111001110…
…01001001110100
3111222022001220200
423330321021310
5402312341431
631521400500
74653216300
oct1374711164
9458261820
10200512116
11a32027a2
1257199130
133270642c
141c8b6d00
151290aee6
hexbf39274

200512116 has 108 divisors (see below), whose sum is σ = 593621028. Its totient is φ = 56899584.

The previous prime is 200512097. The next prime is 200512121. The reversal of 200512116 is 611215002.

It can be written as a sum of positive squares in 2 ways, for example, as 197964900 + 2547216 = 14070^2 + 1596^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347220 + ... + 347796.

It is an arithmetic number, because the mean of its divisors is an integer number (5496491).

Almost surely, 2200512116 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 200512116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296810514).

200512116 is an abundant number, since it is smaller than the sum of its proper divisors (393108912).

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

200512116 is a wasteful number, since it uses less digits than its factorization.

200512116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 200512116 is about 14160.2300828765. The cubic root of 200512116 is about 585.3022676363.

Adding to 200512116 its reverse (611215002), we get a palindrome (811727118).

The spelling of 200512116 in words is "two hundred million, five hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 197 252 294 394 441 577 588 591 788 882 1154 1182 1379 1731 1764 1773 2308 2364 2758 3462 3546 4039 4137 5193 5516 6924 7092 8078 8274 9653 10386 12117 12411 16156 16548 19306 20772 24234 24822 28273 28959 36351 38612 48468 49644 56546 57918 72702 84819 86877 113092 113669 115836 145404 169638 173754 227338 254457 339276 341007 347508 454676 508914 682014 795683 1017828 1023021 1364028 1591366 2046042 2387049 3182732 4092084 4774098 5569781 7161147 9548196 11139562 14322294 16709343 22279124 28644588 33418686 50128029 66837372 100256058 200512116