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205955420 = 22511936161
BaseRepresentation
bin11000100011010…
…10000101011100
3112100112121201112
430101222011130
5410211033140
632234201152
75050410056
oct1421520534
9470477645
10205955420
11a62903a0
1258b831b8
1333890c18
141d4d28d6
1513133c65
hexc46a15c

205955420 has 24 divisors (see below), whose sum is σ = 471825648. Its totient is φ = 74892800.

The previous prime is 205955417. The next prime is 205955429. The reversal of 205955420 is 24559502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205955429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467861 + ... + 468300.

It is an arithmetic number, because the mean of its divisors is an integer number (19659402).

Almost surely, 2205955420 is an apocalyptic number.

205955420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205955420 is an abundant number, since it is smaller than the sum of its proper divisors (265870228).

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

205955420 is a wasteful number, since it uses less digits than its factorization.

205955420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936181 (or 936179 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 205955420 is about 14351.1469924881. The cubic root of 205955420 is about 590.5514522417.

The spelling of 205955420 in words is "two hundred five million, nine hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 936161 1872322 3744644 4680805 9361610 10297771 18723220 20595542 41191084 51488855 102977710 205955420