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205900928 = 272955469
BaseRepresentation
bin11000100010111…
…00110010000000
3112100102211222022
430101130302000
5410202312203
632233101012
75050062152
oct1421346200
9470384868
10205900928
11a6253462
1258b57768
133387218c
141d4baad2
1513122a38
hexc45cc80

205900928 has 32 divisors (see below), whose sum is σ = 424345500. Its totient is φ = 99398656.

The previous prime is 205900913. The next prime is 205900931. The reversal of 205900928 is 829009502.

It can be written as a sum of positive squares in 2 ways, for example, as 180418624 + 25482304 = 13432^2 + 5048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2059009282 = 84790384302522368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24023 + ... + 31446.

Almost surely, 2205900928 is an apocalyptic number.

It is an amenable number.

205900928 is an abundant number, since it is smaller than the sum of its proper divisors (218444572).

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

205900928 is an equidigital number, since it uses as much as digits as its factorization.

205900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55512 (or 55500 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 205900928 is about 14349.2483426833. The cubic root of 205900928 is about 590.4993646455.

The spelling of 205900928 in words is "two hundred five million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 55469 110938 221876 443752 887504 1608601 1775008 3217202 3550016 6434404 7100032 12868808 25737616 51475232 102950464 205900928