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205395912 = 23345632
BaseRepresentation
bin11000011111000…
…01011111001000
3112022111012020000
430033201133020
5410040132122
632214203000
75042556621
oct1417413710
9468435200
10205395912
11a5a38a97
1258953460
1333726357
141d3c8a48
15130730ac
hexc3e17c8

205395912 has 60 divisors (see below), whose sum is σ = 576322395. Its totient is φ = 68343696.

The previous prime is 205395901. The next prime is 205395929. The reversal of 205395912 is 219593502.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

205395912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 102697956 = 10134^2 + 10134^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10134.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 364543 + ... + 365105.

Almost surely, 2205395912 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 205395912

205395912 is an abundant number, since it is smaller than the sum of its proper divisors (370926483).

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

205395912 is an frugal number, since it uses more digits than its factorization.

205395912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 205395912 is about 14331.6402410889. The cubic root of 205395912 is about 590.0161941356.

The spelling of 205395912 in words is "two hundred five million, three hundred ninety-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 563 648 1126 1689 2252 3378 4504 5067 6756 10134 13512 15201 20268 30402 40536 45603 60804 91206 121608 182412 316969 364824 633938 950907 1267876 1901814 2535752 2852721 3803628 5705442 7607256 8558163 11410884 17116326 22821768 25674489 34232652 51348978 68465304 102697956 205395912