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214522743556 = 221123725692
BaseRepresentation
bin1100011111001010001…
…1010100101100000100
3202111201110101111102101
43013302203110230010
512003320310243211
6242314514521444
721333034143142
oct3076243245404
9674643344371
10214522743556
1182a84550400
12356ab296284
13172ca017264
14a550b90592
1558a84145c1
hex31f28d4b04

214522743556 has 81 divisors (see below), whose sum is σ = 424846690527. Its totient is φ = 94708183680.

The previous prime is 214522743551. The next prime is 214522743563. The reversal of 214522743556 is 655347225412.

The square root of 214522743556 is 463166.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1647548100 + 212875195456 = 40590^2 + 461384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214522743551) 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 26 ways as a sum of consecutive naturals, for example, 377016840 + ... + 377017408.

Almost surely, 2214522743556 is an apocalyptic number.

214522743556 is the 463166-th square number.

It is an amenable number.

214522743556 is a deficient number, since it is larger than the sum of its proper divisors (210323946971).

214522743556 is an equidigital number, since it uses as much as digits as its factorization.

214522743556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 46.

Adding to 214522743556 its reverse (655347225412), we get a palindrome (869869968968).

The spelling of 214522743556 in words is "two hundred fourteen billion, five hundred twenty-two million, seven hundred forty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 37 44 74 121 148 242 407 484 569 814 1138 1369 1628 2276 2738 4477 5476 6259 8954 12518 15059 17908 21053 25036 30118 42106 60236 68849 84212 137698 165649 231583 275396 323761 331298 463166 647522 662596 778961 926332 1295044 1557922 2547413 3115844 3561371 5094826 7122742 8568571 10189652 11979157 14245484 17137142 23958314 34274284 39175081 47916628 78350162 94254281 131770727 156700324 188508562 263541454 377017124 443228809 527082908 886457618 1449477997 1772915236 2898955994 4875516899 5797911988 9751033798 19502067596 53630685889 107261371778 214522743556