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200296116 = 223253113929
BaseRepresentation
bin10111111000001…
…00011010110100
3111221220002121200
423330010122310
5402233433431
631513012500
74651326456
oct1374043264
9457802550
10200296116
11a3075489
12570b4130
133265c017
141c85c2d6
15128b6ee6
hexbf046b4

200296116 has 72 divisors (see below), whose sum is σ = 520982280. Its totient is φ = 64856064.

The previous prime is 200296099. The next prime is 200296139. The reversal of 200296116 is 611692002.

200296116 is a `hidden beast` number, since 20 + 0 + 29 + 611 + 6 = 666.

200296116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 196280100 = 2004^2 + 14010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200296116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215140 + ... + 216068.

It is an arithmetic number, because the mean of its divisors is an integer number (7235865).

Almost surely, 2200296116 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 200296116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

200296116 is an abundant number, since it is smaller than the sum of its proper divisors (320686164).

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

200296116 is a wasteful number, since it uses less digits than its factorization.

200296116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 200296116 is about 14152.6010330257. The cubic root of 200296116 is about 585.0920214654.

The spelling of 200296116 in words is "two hundred million, two hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 113 159 212 226 318 339 452 477 636 678 929 954 1017 1356 1858 1908 2034 2787 3716 4068 5574 5989 8361 11148 11978 16722 17967 23956 33444 35934 49237 53901 71868 98474 104977 107802 147711 196948 209954 215604 295422 314931 419908 443133 590844 629862 886266 944793 1259724 1772532 1889586 3779172 5563781 11127562 16691343 22255124 33382686 50074029 66765372 100148058 200296116