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204416144 = 2412776009
BaseRepresentation
bin11000010111100…
…10010010010000
3112020122102020022
430023302102100
5404312304034
632141203012
75031336302
oct1413622220
9466572208
10204416144
11a5429969
1258560468
13334723ca
141d211972
1512e2cb2e
hexc2f2490

204416144 has 10 divisors (see below), whose sum is σ = 396056310. Its totient is φ = 102208064.

The previous prime is 204416131. The next prime is 204416161. The reversal of 204416144 is 441614402.

It can be written as a sum of positive squares in only one way, i.e., 124992400 + 79423744 = 11180^2 + 8912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6387989 + ... + 6388020.

It is an arithmetic number, because the mean of its divisors is an integer number (39605631).

Almost surely, 2204416144 is an apocalyptic number.

It is an amenable number.

204416144 is a deficient number, since it is larger than the sum of its proper divisors (191640166).

204416144 is a wasteful number, since it uses less digits than its factorization.

204416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776017 (or 12776011 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 204416144 is about 14297.4173891651. The cubic root of 204416144 is about 589.0765444646.

The spelling of 204416144 in words is "two hundred four million, four hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 12776009 25552018 51104036 102208072 204416144