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204490000 = 2454112132
BaseRepresentation
bin11000011000001…
…00010100010000
3112020210011112201
430030010110100
5404322140000
632142532544
75032064521
oct1414042420
9466704481
10204490000
11a547a400
1258597154
1333499c00
141d230848
1512e4496a
hexc304510

204490000 has 225 divisors, whose sum is σ = 589271529. Its totient is φ = 68640000.

The previous prime is 204489977. The next prime is 204490003. The reversal of 204490000 is 94402.

The square root of 204490000 is 14300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 201980944 + 2509056 = 14212^2 + 1584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204490000.

It is not an unprimeable number, because it can be changed into a prime (204490003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15729994 + ... + 15730006.

Almost surely, 2204490000 is an apocalyptic number.

204490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204490000 is the 14300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204490000

204490000 is an abundant number, since it is smaller than the sum of its proper divisors (384781529).

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

204490000 is a wasteful number, since it uses less digits than its factorization.

204490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 204490000 is about 589.1474808035.

The spelling of 204490000 in words is "two hundred four million, four hundred ninety thousand".