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205451441 = 1328111499
BaseRepresentation
bin11000011111011…
…11000010110001
3112022121000101122
430033233002301
5410043421231
632215312025
75043210536
oct1417570261
9468530348
10205451441
11a5a76788
125897b615
1333745700
141d400d8d
151308477b
hexc3ef0b1

205451441 has 12 divisors (see below), whose sum is σ = 222894000. Its totient is φ = 189287280.

The previous prime is 205451437. The next prime is 205451447. The reversal of 205451441 is 144154502.

It is not a de Polignac number, because 205451441 - 22 = 205451437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205451441.

It is not an unprimeable number, because it can be changed into a prime (205451447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136310 + ... + 137808.

It is an arithmetic number, because the mean of its divisors is an integer number (18574500).

Almost surely, 2205451441 is an apocalyptic number.

It is an amenable number.

205451441 is a deficient number, since it is larger than the sum of its proper divisors (17442559).

205451441 is a wasteful number, since it uses less digits than its factorization.

205451441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 205451441 is about 14333.5773971469. The cubic root of 205451441 is about 590.0693598435.

The spelling of 205451441 in words is "two hundred five million, four hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 13 169 811 1499 10543 19487 137059 253331 1215689 15803957 205451441