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209216589604 = 2211217212232
BaseRepresentation
bin1100001011011001000…
…1111100111100100100
3202000000122220221120221
43002312101330330210
511411433421331404
6240040205334124
721054403445431
oct3026621747444
9660018827527
10209216589604
1180801346400
123466a267344
13169629147a9
14a1aa196b88
155697685954
hex30b647cf24

209216589604 has 81 divisors (see below), whose sum is σ = 427854615601. Its totient is φ = 89431239040.

The previous prime is 209216589601. The next prime is 209216589623. The reversal of 209216589604 is 406985612902.

The square root of 209216589604 is 457402.

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

209216589604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 162884888100 + 46331701504 = 403590^2 + 215248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209216589601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 171067737 + ... + 171068959.

Almost surely, 2209216589604 is an apocalyptic number.

209216589604 is the 457402-nd square number.

It is an amenable number.

209216589604 is an abundant number, since it is smaller than the sum of its proper divisors (218638025997).

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

209216589604 is a wasteful number, since it uses less digits than its factorization.

209216589604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 209216589604 in words is "two hundred nine billion, two hundred sixteen million, five hundred eighty-nine thousand, six hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 1223 2057 2446 3179 4114 4892 6358 8228 12716 13453 20791 26906 34969 41582 53812 69938 83164 139876 147983 228701 295966 353447 457402 591932 706894 914804 1413788 1495729 2515711 2991458 3887917 5031422 5982916 7775834 10062844 15551668 16453019 25427393 32906038 42767087 50854786 65812076 85534174 101709572 171068348 180983209 279701323 361966418 432265681 559402646 723932836 864531362 1118805292 1729062724 3076714553 4754922491 6153429106 9509844982 12306858212 19019689964 52304147401 104608294802 209216589604