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204290440225 = 52903972
BaseRepresentation
bin1011111001000010101…
…0001011110000100001
3201112022100111122000221
42332100222023300201
511321341323041400
6233503313043041
720521336043044
oct2762052136041
9645270448027
10204290440225
117970369a473
1233714556481
13163591722c1
149c5dc3ac5b
1554a9e6ac1a
hex2f90a8bc21

204290440225 has 9 divisors (see below), whose sum is σ = 253322948217. Its totient is φ = 163430544240.

The previous prime is 204290440187. The next prime is 204290440243. The reversal of 204290440225 is 522044092402.

The square root of 204290440225 is 451985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 118567969569 + 85722470656 = 344337^2 + 292784^2 .

It is not a de Polignac number, because 204290440225 - 27 = 204290440097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2214727 + ... + 2305123.

Almost surely, 2204290440225 is an apocalyptic number.

204290440225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204290440225 is the 451985-th square number.

204290440225 is the 225993-rd centered octagonal number.

It is an amenable number.

204290440225 is a deficient number, since it is larger than the sum of its proper divisors (49032507992).

204290440225 is an frugal number, since it uses more digits than its factorization.

204290440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180804 (or 90402 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 204290440225 in words is "two hundred four billion, two hundred ninety million, four hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 25 90397 451985 2259925 8171617609 40858088045 204290440225