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226205382321 = 36310295449
BaseRepresentation
bin1101001010101011100…
…1000011011010110001
3210121212122100001000000
43102222321003122301
512201232034213241
6251530050220213
722225403011362
oct3225271033261
9717778301000
10226205382321
1187a2a04a866
1237a0b884669
131843c4b2969
14ad3c599b69
155d3dd96eb6
hex34aae436b1

226205382321 has 14 divisors (see below), whose sum is σ = 339152926850. Its totient is φ = 150803587728.

The previous prime is 226205382311. The next prime is 226205382331. The reversal of 226205382321 is 123283502622.

226205382321 is a `hidden beast` number, since 2 + 2 + 620 + 5 + 3 + 8 + 2 + 3 + 21 = 666.

226205382321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226205382311) and next prime (226205382331).

It can be written as a sum of positive squares in only one way, i.e., 213541031025 + 12664351296 = 462105^2 + 112536^2 .

It is not a de Polignac number, because 226205382321 - 215 = 226205349553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226205382311) 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 13 ways as a sum of consecutive naturals, for example, 155146996 + ... + 155148453.

Almost surely, 2226205382321 is an apocalyptic number.

It is an amenable number.

226205382321 is a deficient number, since it is larger than the sum of its proper divisors (112947544529).

226205382321 is an frugal number, since it uses more digits than its factorization.

226205382321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310295467 (or 310295452 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 226205382321 its reverse (123283502622), we get a palindrome (349488884943).

The spelling of 226205382321 in words is "two hundred twenty-six billion, two hundred five million, three hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 310295449 930886347 2792659041 8377977123 25133931369 75401794107 226205382321