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229865590249 = 89253872
BaseRepresentation
bin1101011000010100001…
…1101000110111101001
3210222022201122212100121
43112011003220313221
512231231042341444
6253333201203241
722415166164461
oct3260503506751
9728281585317
10229865590249
1189538151199
1238671630521
13188a38b3579
14b1a873cba1
155ea539d084
hex35850e8de9

229865590249 has 9 divisors (see below), whose sum is σ = 232520532727. Its totient is φ = 227240639824.

The previous prime is 229865590247. The next prime is 229865590267. The reversal of 229865590249 is 942095568922.

The square root of 229865590249 is 479443.

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

229865590249 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., 44139068649 + 185726521600 = 210093^2 + 430960^2 .

It is not a de Polignac number, because 229865590249 - 21 = 229865590247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229865590247) 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, 42667734 + ... + 42673120.

Almost surely, 2229865590249 is an apocalyptic number.

229865590249 is the 479443-rd square number.

229865590249 is the 239722-nd centered octagonal number.

It is an amenable number.

229865590249 is a deficient number, since it is larger than the sum of its proper divisors (2654942478).

229865590249 is an frugal number, since it uses more digits than its factorization.

229865590249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 229865590249 in words is "two hundred twenty-nine billion, eight hundred sixty-five million, five hundred ninety thousand, two hundred forty-nine".

Divisors: 1 89 5387 7921 479443 29019769 42670427 2582759441 229865590249