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830814919 = 11219389929
BaseRepresentation
bin110001100001010…
…011101011000111
32010220022202210221
4301201103223013
53200142034134
6214235125211
726405544634
oct6141235307
92126282727
10830814919
11396a78600
121b22a3807
13103181a7c
147c4ab18b
154ce125b4
hex31853ac7

830814919 has 24 divisors (see below), whose sum is σ = 964782000. Its totient is φ = 712926720.

The previous prime is 830814913. The next prime is 830815019. The reversal of 830814919 is 919418038.

830814919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 830814919 - 29 = 830814407 is a prime.

It is a super-2 number, since 2×8308149192 = 1380506859265953122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830814913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893847 + ... + 894775.

It is an arithmetic number, because the mean of its divisors is an integer number (40199250).

Almost surely, 2830814919 is an apocalyptic number.

830814919 is a deficient number, since it is larger than the sum of its proper divisors (133967081).

830814919 is a wasteful number, since it uses less digits than its factorization.

830814919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 830814919 is about 28823.8602376573. The cubic root of 830814919 is about 940.0871048752.

The spelling of 830814919 in words is "eight hundred thirty million, eight hundred fourteen thousand, nine hundred nineteen".

Divisors: 1 11 19 121 209 389 929 2299 4279 7391 10219 17651 47069 81301 112409 194161 361381 894311 2135771 3975191 6866239 43727101 75528629 830814919