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226739167232 = 21352612
BaseRepresentation
bin1101001100101010110…
…1010010000000000000
3210200020211202010020112
43103022231102000000
512203330211322412
6252055035130452
722244544056534
oct3231255220000
9720224663215
10226739167232
1188183392316
1237b3a5a3a28
13184c5c66716
14ad8d427bc4
155d70b85722
hex34cab52000

226739167232 has 42 divisors (see below), whose sum is σ = 453536863689. Its totient is φ = 113348034560.

The previous prime is 226739167181. The next prime is 226739167243. The reversal of 226739167232 is 232761937622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 212277661696 + 14461505536 = 460736^2 + 120256^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336704.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 43095482 + ... + 43100742.

Almost surely, 2226739167232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226739167232

226739167232 is an abundant number, since it is smaller than the sum of its proper divisors (226797696457).

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

226739167232 is an frugal number, since it uses more digits than its factorization.

226739167232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 5263 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

Multiplying 226739167232 by its sum of digits (50), we get a square (11336958361600 = 33670402).

The spelling of 226739167232 in words is "two hundred twenty-six billion, seven hundred thirty-nine million, one hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5261 8192 10522 21044 42088 84176 168352 336704 673408 1346816 2693632 5387264 10774528 21549056 27678121 43098112 55356242 110712484 221424968 442849936 885699872 1771399744 3542799488 7085598976 14171197952 28342395904 56684791808 113369583616 226739167232