Search a number
-
+
204861969 = 321323672
BaseRepresentation
bin11000011010111…
…11001000010001
3112021111001210100
430031133020101
5404421040334
632154523013
75035204134
oct1415371021
9467431710
10204861969
11a5703914
1258736469
133359a300
141d2ca21b
1512eb9c99
hexc35f211

204861969 has 27 divisors (see below), whose sum is σ = 321300603. Its totient is φ = 125725392.

The previous prime is 204861941. The next prime is 204861977. The reversal of 204861969 is 969168402.

It is a happy number.

The square root of 204861969 is 14313.

It is a perfect power (a square), and thus also a powerful number.

204861969 is a `hidden beast` number, since 20 + 4 + 8 + 619 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30305025 + 174556944 = 5505^2 + 13212^2 .

It is not a de Polignac number, because 204861969 - 27 = 204861841 is a prime.

It is a super-2 number, since 2×2048619692 = 83936852685113922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204861269) 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 26 ways as a sum of consecutive naturals, for example, 558024 + ... + 558390.

Almost surely, 2204861969 is an apocalyptic number.

204861969 is the 14313-rd square number.

204861969 is the 7157-th centered octagonal number.

It is an amenable number.

204861969 is a deficient number, since it is larger than the sum of its proper divisors (116438634).

204861969 is an equidigital number, since it uses as much as digits as its factorization.

204861969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 204861969 is about 589.5044858048.

Multiplying 204861969 by its product of nonzero digits (186624), we get a square (38232160102656 = 61832162).

The spelling of 204861969 in words is "two hundred four million, eight hundred sixty-one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 367 507 1101 1521 3303 4771 14313 42939 62023 134689 186069 404067 558207 1212201 1750957 5252871 15758613 22762441 68287323 204861969