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205604490 = 23573132953
BaseRepresentation
bin11000100000101…
…00011010001010
3112022212210100010
430100110122022
5410113320430
632222452350
75044416000
oct1420243212
9468783303
10205604490
11a6070773
1258a340b6
133379a280
141d440a70
15130b4cb0
hexc41468a

205604490 has 256 divisors, whose sum is σ = 653184000. Its totient is φ = 41094144.

The previous prime is 205604479. The next prime is 205604533. The reversal of 205604490 is 94406502.

205604490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3879304 + ... + 3879356.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2205604490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205604490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

205604490 is an abundant number, since it is smaller than the sum of its proper divisors (447579510).

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

205604490 is a wasteful number, since it uses less digits than its factorization.

205604490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 205604490 is about 14338.9152309371. The cubic root of 205604490 is about 590.2158455682.

The spelling of 205604490 in words is "two hundred five million, six hundred four thousand, four hundred ninety".