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205003045 = 5138935437
BaseRepresentation
bin11000011100000…
…01100100100101
3112021202020022101
430032001210211
5404440044140
632201532101
75036332342
oct1416014445
9467666271
10205003045
11a579a905
12587a4031
13336195a0
141d3257c9
1512ee699a
hexc381925

205003045 has 16 divisors (see below), whose sum is σ = 267911280. Its totient is φ = 149681664.

The previous prime is 205003037. The next prime is 205003067. The reversal of 205003045 is 540300502.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7628644 + 197374401 = 2762^2 + 14049^2 .

It is a cyclic number.

It is not a de Polignac number, because 205003045 - 23 = 205003037 is a prime.

It is a congruent number.

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 in 15 ways as a sum of consecutive naturals, for example, 11934 + ... + 23503.

It is an arithmetic number, because the mean of its divisors is an integer number (16744455).

Almost surely, 2205003045 is an apocalyptic number.

It is an amenable number.

205003045 is a deficient number, since it is larger than the sum of its proper divisors (62908235).

205003045 is a wasteful number, since it uses less digits than its factorization.

205003045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35544.

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 205003045 is about 14317.9273988940. The cubic root of 205003045 is about 589.6397734041.

Adding to 205003045 its reverse (540300502), we get a palindrome (745303547).

The spelling of 205003045 in words is "two hundred five million, three thousand, forty-five".

Divisors: 1 5 13 65 89 445 1157 5785 35437 177185 460681 2303405 3153893 15769465 41000609 205003045