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231526656 = 28323172
BaseRepresentation
bin11011100110011…
…01000100000000
3121010122202212100
431303031010000
5433232323111
634550230400
75510641554
oct1563150400
9533582770
10231526656
11109766449
1265655400
1338c7512a
1422a6b864
15154d5756
hexdccd100

231526656 has 81 divisors (see below), whose sum is σ = 669660901. Its totient is φ = 76932096.

The previous prime is 231526651. The next prime is 231526661. The reversal of 231526656 is 656625132.

It is a happy number.

The square root of 231526656 is 15216.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (231526651) and next prime (231526661).

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 218566656 = 3600^2 + 14784^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 231526656.

It is not an unprimeable number, because it can be changed into a prime (231526651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 730210 + ... + 730526.

Almost surely, 2231526656 is an apocalyptic number.

231526656 is the 15216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231526656

231526656 is an abundant number, since it is smaller than the sum of its proper divisors (438134245).

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

231526656 is an frugal number, since it uses more digits than its factorization.

231526656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 322 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The cubic root of 231526656 is about 614.0451890192.

Multiplying 231526656 by its sum of digits (36), we get a square (8334959616 = 912962).

231526656 divided by its sum of digits (36) gives a square (6431296 = 25362).

The spelling of 231526656 in words is "two hundred thirty-one million, five hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 317 384 576 634 768 951 1152 1268 1902 2304 2536 2853 3804 5072 5706 7608 10144 11412 15216 20288 22824 30432 40576 45648 60864 81152 91296 100489 121728 182592 200978 243456 301467 365184 401956 602934 730368 803912 904401 1205868 1607824 1808802 2411736 3215648 3617604 4823472 6431296 7235208 9646944 12862592 14470416 19293888 25725184 28940832 38587776 57881664 77175552 115763328 231526656