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205023642 = 231910331741
BaseRepresentation
bin11000011100001…
…10100110011010
3112021210021120020
430032012212122
5404441224032
632202211310
75036446365
oct1416064632
9467707506
10205023642
11a580432a
12587b3b36
1333625a85
141d32d0dc
1512eecb2c
hexc38699a

205023642 has 32 divisors (see below), whose sum is σ = 432294720. Its totient is φ = 64644480.

The previous prime is 205023619. The next prime is 205023653. The reversal of 205023642 is 246320502.

205023642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116892 + ... + 118632.

It is an arithmetic number, because the mean of its divisors is an integer number (13509210).

Almost surely, 2205023642 is an apocalyptic number.

205023642 is an abundant number, since it is smaller than the sum of its proper divisors (227271078).

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

205023642 is a wasteful number, since it uses less digits than its factorization.

205023642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 205023642 is about 14318.6466539265. The cubic root of 205023642 is about 589.6595201087.

The spelling of 205023642 in words is "two hundred five million, twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 1033 1741 2066 3099 3482 5223 6198 10446 19627 33079 39254 58881 66158 99237 117762 198474 1798453 3596906 5395359 10790718 34170607 68341214 102511821 205023642