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205654141 = 711322073
BaseRepresentation
bin11000100001000…
…00100001111101
3112022222022110001
430100200201331
5410121413031
632223514301
75045013520
oct1420404175
9468868401
10205654141
11a60a5000
1258a58991
13337b6a54
141d454bb7
15130c4861
hexc42087d

205654141 has 16 divisors (see below), whose sum is σ = 258530688. Its totient is φ = 160242720.

The previous prime is 205654139. The next prime is 205654153. The reversal of 205654141 is 141456502.

It is not a de Polignac number, because 205654141 - 21 = 205654139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205654171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 20353.

It is an arithmetic number, because the mean of its divisors is an integer number (16158168).

Almost surely, 2205654141 is an apocalyptic number.

It is an amenable number.

205654141 is a deficient number, since it is larger than the sum of its proper divisors (52876547).

205654141 is an equidigital number, since it uses as much as digits as its factorization.

205654141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 205654141 is about 14340.6464638105. The cubic root of 205654141 is about 590.2633517427.

The spelling of 205654141 in words is "two hundred five million, six hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 7 11 77 121 847 1331 9317 22073 154511 242803 1699621 2670833 18695831 29379163 205654141