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831974221 = 13228128057
BaseRepresentation
bin110001100101101…
…110101101001101
32010222111200002001
4301211232231031
53200441133341
6214320032301
726421443551
oct6145565515
92128450061
10831974221
1139769a601
121b2762691
13103499650
147c6cd861
154d090d31
hex3196eb4d

831974221 has 8 divisors (see below), whose sum is σ = 896396984. Its totient is φ = 767612160.

The previous prime is 831974207. The next prime is 831974257. The reversal of 831974221 is 122479138.

It can be written as a sum of positive squares in 4 ways, for example, as 58522500 + 773451721 = 7650^2 + 27811^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 831974221 - 27 = 831974093 is a prime.

It is a super-2 number, since 2×8319742212 = 1384362208817113682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831974291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15625 + ... + 43681.

It is an arithmetic number, because the mean of its divisors is an integer number (112049623).

Almost surely, 2831974221 is an apocalyptic number.

It is an amenable number.

831974221 is a deficient number, since it is larger than the sum of its proper divisors (64422763).

831974221 is a wasteful number, since it uses less digits than its factorization.

831974221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30351.

The product of its digits is 24192, while the sum is 37.

The square root of 831974221 is about 28843.9633372392. The cubic root of 831974221 is about 940.5241610365.

The spelling of 831974221 in words is "eight hundred thirty-one million, nine hundred seventy-four thousand, two hundred twenty-one".

Divisors: 1 13 2281 28057 29653 364741 63998017 831974221