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205401056 = 2575031823
BaseRepresentation
bin11000011111000…
…10101111100000
3112022111110021112
430033202233200
5410040313211
632214242452
75042610620
oct1417425740
9468443245
10205401056
11a5a41943
1258956428
13337287b3
141d3ca880
151307488b
hexc3e2be0

205401056 has 48 divisors (see below), whose sum is σ = 463325184. Its totient is φ = 87805824.

The previous prime is 205401047. The next prime is 205401061. The reversal of 205401056 is 650104502.

205401056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111761 + ... + 113583.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2205401056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

205401056 is an abundant number, since it is smaller than the sum of its proper divisors (257924128).

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

205401056 is a wasteful number, since it uses less digits than its factorization.

205401056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205401056 is about 14331.8197030245. The cubic root of 205401056 is about 590.0211196117.

Adding to 205401056 its reverse (650104502), we get a palindrome (855505558).

The spelling of 205401056 in words is "two hundred five million, four hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 503 1006 1823 2012 3521 3646 4024 7042 7292 8048 12761 14084 14584 16096 25522 28168 29168 51044 56336 58336 102088 112672 204176 408352 916969 1833938 3667876 6418783 7335752 12837566 14671504 25675132 29343008 51350264 102700528 205401056