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231290676 = 223241349449
BaseRepresentation
bin11011100100100…
…11011100110100
3121010012210011100
431302103130310
5433202300201
634541210100
75505636561
oct1562233464
9533183140
10231290676
11109615121
1265560930
1338bc18b6
1422a09868
151548a886
hexdc93734

231290676 has 72 divisors (see below), whose sum is σ = 601965000. Its totient is φ = 74833920.

The previous prime is 231290671. The next prime is 231290677. The reversal of 231290676 is 676092132.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 212576400 = 4326^2 + 14580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231290676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231290671) 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, 514900 + ... + 515348.

It is an arithmetic number, because the mean of its divisors is an integer number (8360625).

Almost surely, 2231290676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231290676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300982500).

231290676 is an abundant number, since it is smaller than the sum of its proper divisors (370674324).

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

231290676 is a wasteful number, since it uses less digits than its factorization.

231290676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 231290676 is about 15208.2436855805. The cubic root of 231290676 is about 613.8364993821.

The spelling of 231290676 in words is "two hundred thirty-one million, two hundred ninety thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 349 369 449 492 698 738 898 1047 1347 1396 1476 1796 2094 2694 3141 4041 4188 5388 6282 8082 12564 14309 16164 18409 28618 36818 42927 55227 57236 73636 85854 110454 128781 156701 165681 171708 220908 257562 313402 331362 470103 515124 626804 662724 940206 1410309 1880412 2820618 5641236 6424741 12849482 19274223 25698964 38548446 57822669 77096892 115645338 231290676