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200648133 = 3275635657
BaseRepresentation
bin10111111010110…
…10010111000101
3111222112222111100
423331122113011
5402331220013
631524330313
74654323660
oct1375322705
9458488440
10200648133
11a3295a04
1257243999
133275330a
141c9106d7
1512936473
hexbf5a5c5

200648133 has 24 divisors (see below), whose sum is σ = 331875648. Its totient is φ = 114432192.

The previous prime is 200648131. The next prime is 200648153. The reversal of 200648133 is 331846002.

It is a happy number.

200648133 is a `hidden beast` number, since 2 + 0 + 0 + 648 + 13 + 3 = 666.

It is not a de Polignac number, because 200648133 - 21 = 200648131 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 200648097 and 200648106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200648131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32641 + ... + 38297.

It is an arithmetic number, because the mean of its divisors is an integer number (13828152).

Almost surely, 2200648133 is an apocalyptic number.

It is an amenable number.

200648133 is a deficient number, since it is larger than the sum of its proper divisors (131227515).

200648133 is a wasteful number, since it uses less digits than its factorization.

200648133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 200648133 is about 14165.0320507932. The cubic root of 200648133 is about 585.4345839365.

The spelling of 200648133 in words is "two hundred million, six hundred forty-eight thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 563 1689 3941 5067 5657 11823 16971 35469 39599 50913 118797 356391 3184891 9554673 22294237 28664019 66882711 200648133