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204584148 = 22325682893
BaseRepresentation
bin11000011000110…
…11010011010100
3112020221221200200
430030123103110
5404333143043
632144540500
75032636146
oct1414332324
9466857620
10204584148
11a553410a
1258621730
1333500a12
141d256c96
1512e627d3
hexc31b4d4

204584148 has 18 divisors (see below), whose sum is σ = 517143354. Its totient is φ = 68194704.

The previous prime is 204584143. The next prime is 204584189. The reversal of 204584148 is 841485402.

It can be written as a sum of positive squares in only one way, i.e., 109872324 + 94711824 = 10482^2 + 9732^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2045841482 = 83709347225771808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5682893 = 204584148 / (2 + 0 + 4 + 5 + 8 + 4 + 1 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204584143) by changing a digit.

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, 2841411 + ... + 2841482.

Almost surely, 2204584148 is an apocalyptic number.

It is an amenable number.

204584148 is an abundant number, since it is smaller than the sum of its proper divisors (312559206).

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

204584148 is a wasteful number, since it uses less digits than its factorization.

204584148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682903 (or 5682898 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 204584148 is about 14303.2915092995. The cubic root of 204584148 is about 589.2378822034.

The spelling of 204584148 in words is "two hundred four million, five hundred eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5682893 11365786 17048679 22731572 34097358 51146037 68194716 102292074 204584148