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205454440 = 2355136361
BaseRepresentation
bin11000011111011…
…11110001101000
3112022121011111201
430033233301220
5410044020230
632215333544
75043222352
oct1417576150
9468534451
10205454440
11a5a78a64
12589812b4
1333746b99
141d4020d2
15130855ca
hexc3efc68

205454440 has 16 divisors (see below), whose sum is σ = 462272580. Its totient is φ = 82181760.

The previous prime is 205454419. The next prime is 205454443. The reversal of 205454440 is 44454502.

It can be written as a sum of positive squares in 2 ways, for example, as 195832036 + 9622404 = 13994^2 + 3102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205454399 and 205454408.

It is not an unprimeable number, because it can be changed into a prime (205454443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2568141 + ... + 2568220.

Almost surely, 2205454440 is an apocalyptic number.

205454440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205454440 is an abundant number, since it is smaller than the sum of its proper divisors (256818140).

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

205454440 is a wasteful number, since it uses less digits than its factorization.

205454440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136372 (or 5136368 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 205454440 is about 14333.6820112628. The cubic root of 205454440 is about 590.0722309346.

The spelling of 205454440 in words is "two hundred five million, four hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5136361 10272722 20545444 25681805 41090888 51363610 102727220 205454440