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200842100 = 22522008421
BaseRepresentation
bin10111111100010…
…01101101110100
3111222220211120022
423332021231310
5402403421400
631532424312
74656062324
oct1376115564
9458824508
10200842100
11a3408708
1257318098
13327c06a4
141c961284
1512973b85
hexbf89b74

200842100 has 18 divisors (see below), whose sum is σ = 435827574. Its totient is φ = 80336800.

The previous prime is 200842079. The next prime is 200842111. The reversal of 200842100 is 1248002.

It can be written as a sum of positive squares in 3 ways, for example, as 59660176 + 141181924 = 7724^2 + 11882^2 .

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 5 ways as a sum of consecutive naturals, for example, 1004111 + ... + 1004310.

It is an arithmetic number, because the mean of its divisors is an integer number (24212643).

Almost surely, 2200842100 is an apocalyptic number.

200842100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200842100 is an abundant number, since it is smaller than the sum of its proper divisors (234985474).

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

200842100 is a wasteful number, since it uses less digits than its factorization.

200842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008435 (or 2008428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 200842100 is about 14171.8770810362. The cubic root of 200842100 is about 585.6231701556.

The spelling of 200842100 in words is "two hundred million, eight hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2008421 4016842 8033684 10042105 20084210 40168420 50210525 100421050 200842100