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827830221 = 3416730327
BaseRepresentation
bin110001010101111…
…010111111001101
32010200201010120120
4301111322333031
53143411031341
6214051135153
726341304121
oct6125727715
92120633516
10827830221
1139531a109
121b12a44b9
1310267838a
147bd31581
154ca23066
hex3157afcd

827830221 has 8 divisors (see below), whose sum is σ = 1130695104. Its totient is φ = 538426080.

The previous prime is 827830163. The next prime is 827830229. The reversal of 827830221 is 122038728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 827830221 - 27 = 827830093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827830229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3365041 + ... + 3365286.

It is an arithmetic number, because the mean of its divisors is an integer number (141336888).

Almost surely, 2827830221 is an apocalyptic number.

It is an amenable number.

827830221 is a deficient number, since it is larger than the sum of its proper divisors (302864883).

827830221 is a wasteful number, since it uses less digits than its factorization.

827830221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730371.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 827830221 is about 28772.0388745740. The cubic root of 827830221 is about 938.9600015172.

Adding to 827830221 its reverse (122038728), we get a palindrome (949868949).

The spelling of 827830221 in words is "eight hundred twenty-seven million, eight hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 41 123 6730327 20190981 275943407 827830221