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827212220 = 225471018713
BaseRepresentation
bin110001010011100…
…100000110111100
32010122112201211122
4301103210012330
53143231242340
6214030010112
726333121302
oct6123440674
92118481748
10827212220
11394a3786a
121b1046938
131024bccb3
147bc10272
154c94edb5
hex314e41bc

827212220 has 48 divisors (see below), whose sum is σ = 1791877248. Its totient is φ = 320601600.

The previous prime is 827212201. The next prime is 827212229. The reversal of 827212220 is 22212728.

It is a self number, because there is not a number n which added to its sum of digits gives 827212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827212229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90584 + ... + 99296.

It is an arithmetic number, because the mean of its divisors is an integer number (37330776).

Almost surely, 2827212220 is an apocalyptic number.

It is an amenable number.

827212220 is an abundant number, since it is smaller than the sum of its proper divisors (964665028).

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

827212220 is a wasteful number, since it uses less digits than its factorization.

827212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 827212220 is about 28761.2972586426. The cubic root of 827212220 is about 938.7262890708.

Adding to 827212220 its reverse (22212728), we get a palindrome (849424948).

The spelling of 827212220 in words is "eight hundred twenty-seven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 101 188 202 235 404 470 505 940 1010 2020 4747 8713 9494 17426 18988 23735 34852 43565 47470 87130 94940 174260 409511 819022 880013 1638044 1760026 2047555 3520052 4095110 4400065 8190220 8800130 17600260 41360611 82721222 165442444 206803055 413606110 827212220