Search a number
-
+
2239521229009 = 163291812
BaseRepresentation
bin100000100101101101110…
…111100000100011010001
321221002121002021222122001
4200211231313200203101
5243143014413312014
64432453304114001
7320541265234051
oct40455567404321
97832532258561
102239521229009
11793859393319
1230204b165901
131332556a464c
147a571711561
153d3c5db5974
hex2096dde08d1

2239521229009 has 9 divisors (see below), whose sum is σ = 2253590376219. Its totient is φ = 2225539401480.

The previous prime is 2239521228983. The next prime is 2239521229027. The reversal of 2239521229009 is 9009221259322.

The square root of 2239521229009 is 1496503.

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

It can be written as a sum of positive squares in only one way, i.e., 1447456828609 + 792064400400 = 1203103^2 + 889980^2 .

It is a de Polignac number, because none of the positive numbers 2k-2239521229009 is a prime.

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 2239521229009.

It is not an unprimeable number, because it can be changed into a prime (2239521229609) 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 8 ways as a sum of consecutive naturals, for example, 243925399 + ... + 243934579.

It is an arithmetic number, because the mean of its divisors is an integer number (250398930691).

Almost surely, 22239521229009 is an apocalyptic number.

2239521229009 is the 1496503-rd square number.

2239521229009 is the 748252-nd centered octagonal number.

It is an amenable number.

2239521229009 is a deficient number, since it is larger than the sum of its proper divisors (14069147210).

2239521229009 is an frugal number, since it uses more digits than its factorization.

2239521229009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18688 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 2239521229009 in words is "two trillion, two hundred thirty-nine billion, five hundred twenty-one million, two hundred twenty-nine thousand, nine".

Divisors: 1 163 9181 26569 1496503 84290761 243929989 13739394043 2239521229009