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21853223325 = 32521729197009
BaseRepresentation
bin10100010110100011…
…011011100110011101
32002101222200202201200
4110112203123212131
5324223411121300
614012250230113
71402354222233
oct242643334635
962358622650
1021853223325
1192a463614a
12429a725339
1320a361129b
1410b4494953
1587d7d9200
hex5168db99d

21853223325 has 72 divisors (see below), whose sum is σ = 42873316200. Its totient is φ = 10591150080.

The previous prime is 21853223317. The next prime is 21853223347. The reversal of 21853223325 is 52332235812.

21853223325 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 322 + 3 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1605925476 + 20247297849 = 40074^2 + 142293^2 .

It is not a de Polignac number, because 21853223325 - 23 = 21853223317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21853223325.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12421 + ... + 209429.

It is an arithmetic number, because the mean of its divisors is an integer number (595462725).

Almost surely, 221853223325 is an apocalyptic number.

21853223325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21853223325 is a deficient number, since it is larger than the sum of its proper divisors (21020092875).

21853223325 is a wasteful number, since it uses less digits than its factorization.

21853223325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197071 (or 197063 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 21853223325 in words is "twenty-one billion, eight hundred fifty-three million, two hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 45 51 75 85 87 145 153 225 255 261 425 435 493 725 765 1275 1305 1479 2175 2465 3825 4437 6525 7395 12325 22185 36975 110925 197009 591027 985045 1773081 2955135 3349153 4925225 5713261 8865405 10047459 14775675 16745765 17139783 28566305 30142377 44327025 50237295 51419349 83728825 85698915 97125437 142831525 150711885 251186475 257096745 291376311 428494575 485627185 753559425 874128933 1285483725 1456881555 2428135925 4370644665 7284407775 21853223325