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204101600 = 2552255127
BaseRepresentation
bin11000010101001…
…01011111100000
3112020001102202112
430022211133200
5404222222400
632130334452
75025556253
oct1412453740
9466042675
10204101600
11a523460a
125842a428
13333921a1
141d16d09a
1512db9835
hexc2a57e0

204101600 has 36 divisors (see below), whose sum is σ = 498264984. Its totient is φ = 81640320.

The previous prime is 204101593. The next prime is 204101621. The reversal of 204101600 is 6101402.

204101600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 126764 + ... + 128363.

It is an arithmetic number, because the mean of its divisors is an integer number (13840694).

Almost surely, 2204101600 is an apocalyptic number.

204101600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204101600 is an abundant number, since it is smaller than the sum of its proper divisors (294163384).

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

204101600 is a wasteful number, since it uses less digits than its factorization.

204101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255147 (or 255134 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 204101600 is about 14286.4131257639. The cubic root of 204101600 is about 588.7742434681.

The spelling of 204101600 in words is "two hundred four million, one hundred one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 255127 510254 1020508 1275635 2041016 2551270 4082032 5102540 6378175 8164064 10205080 12756350 20410160 25512700 40820320 51025400 102050800 204101600