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205020452 = 22713717933
BaseRepresentation
bin11000011100001…
…01110100100100
3112021210010012002
430032011310210
5404441123302
632202144432
75036434160
oct1416056444
9467703162
10205020452
11a580199a
12587b2118
13336244a0
141d32bca0
1512eebc02
hexc385d24

205020452 has 48 divisors (see below), whose sum is σ = 447858432. Its totient is φ = 79954560.

The previous prime is 205020449. The next prime is 205020499. The reversal of 205020452 is 254020502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21878 + ... + 29810.

It is an arithmetic number, because the mean of its divisors is an integer number (9330384).

Almost surely, 2205020452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205020452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223929216).

205020452 is an abundant number, since it is smaller than the sum of its proper divisors (242837980).

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

205020452 is a wasteful number, since it uses less digits than its factorization.

205020452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 205020452 is about 14318.5352602841. The cubic root of 205020452 is about 589.6564618863.

Adding to 205020452 its reverse (254020502), we get a palindrome (459040954).

Subtracting 205020452 from its reverse (254020502), we obtain a triangular number (49000050 = T9899).

The spelling of 205020452 in words is "two hundred five million, twenty thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1988 3692 6461 7933 12922 15866 25844 31732 55531 103129 111062 206258 222124 412516 563243 721903 1126486 1443806 2252972 2887612 3942701 7322159 7885402 14644318 15770804 29288636 51255113 102510226 205020452