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204633025 = 5228612
BaseRepresentation
bin11000011001001…
…11001111000001
3112021001102201221
430030213033001
5404341224100
632145555041
75033231512
oct1414471701
9467042657
10204633025
11a5567903
1258645a81
133351a03c
141d26aa09
1512e7201a
hexc3273c1

204633025 has 9 divisors (see below), whose sum is σ = 253833673. Its totient is φ = 163649200.

The previous prime is 204632993. The next prime is 204633031. The reversal of 204633025 is 520336402.

It is a happy number.

The square root of 204633025 is 14305.

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 1399489 + 203233536 = 1183^2 + 14256^2 .

It is not a de Polignac number, because 204633025 - 25 = 204632993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 70095 + ... + 72955.

Almost surely, 2204633025 is an apocalyptic number.

204633025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204633025 is the 14305-th square number.

204633025 is the 7153-rd centered octagonal number.

It is an amenable number.

204633025 is a deficient number, since it is larger than the sum of its proper divisors (49200648).

204633025 is an frugal number, since it uses more digits than its factorization.

204633025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The cubic root of 204633025 is about 589.2848032169.

Multiplying 204633025 by its sum of digits (25), we get a square (5115825625 = 715252).

204633025 divided by its sum of digits (25) gives a square (8185321 = 28612).

Adding to 204633025 its reverse (520336402), we get a palindrome (724969427).

The spelling of 204633025 in words is "two hundred four million, six hundred thirty-three thousand, twenty-five".

Divisors: 1 5 25 2861 14305 71525 8185321 40926605 204633025