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505352220 = 223540920593
BaseRepresentation
bin11110000111110…
…001000000011100
31022012220112220220
4132013301000130
52013332232340
6122051241340
715344265042
oct3607610034
91265815826
10505352220
1123a29266a
121212a9250
138090a2a9
144b18a392
152e573ed0
hex1e1f101c

505352220 has 48 divisors (see below), whose sum is σ = 1418514720. Its totient is φ = 134424576.

The previous prime is 505352213. The next prime is 505352261. The reversal of 505352220 is 22253505.

It is a congruent number.

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, 14244 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (29552390).

Almost surely, 2505352220 is an apocalyptic number.

It is an amenable number.

505352220 is an abundant number, since it is smaller than the sum of its proper divisors (913162500).

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

505352220 is a wasteful number, since it uses less digits than its factorization.

505352220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 505352220 is about 22480.0404803906. The cubic root of 505352220 is about 796.5225204054.

The spelling of 505352220 in words is "five hundred five million, three hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 409 818 1227 1636 2045 2454 4090 4908 6135 8180 12270 20593 24540 41186 61779 82372 102965 123558 205930 247116 308895 411860 617790 1235580 8422537 16845074 25267611 33690148 42112685 50535222 84225370 101070444 126338055 168450740 252676110 505352220