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226642206848 = 2729214512
BaseRepresentation
bin1101001100010011101…
…1011010000010000000
3210200000002022000121012
43103010323122002000
512203130401104343
6252041253020052
722242255654311
oct3230473320200
9720002260535
10226642206848
1188133687572
1237b12024628
13184abb48605
14ad805c8608
155d673d1718
hex34c4eda080

226642206848 has 72 divisors (see below), whose sum is σ = 467942585565. Its totient is φ = 109338073600.

The previous prime is 226642206841. The next prime is 226642206851. The reversal of 226642206848 is 848602246622.

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 226507461184 + 134745664 = 475928^2 + 11608^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336632.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226642206796 and 226642206805.

It is not an unprimeable number, because it can be changed into a prime (226642206841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156196523 + ... + 156197973.

Almost surely, 2226642206848 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 226642206848

226642206848 is an abundant number, since it is smaller than the sum of its proper divisors (241300378717).

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

226642206848 is an frugal number, since it uses more digits than its factorization.

226642206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 50.

Multiplying 226642206848 by its sum of digits (50), we get a square (11332110342400 = 33663202).

The spelling of 226642206848 in words is "two hundred twenty-six billion, six hundred forty-two million, two hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1451 1682 1856 2902 3364 3712 5804 6728 11608 13456 23216 26912 42079 46432 53824 84158 92864 107648 168316 185728 336632 673264 1220291 1346528 2105401 2440582 2693056 4210802 4881164 5386112 8421604 9762328 16843208 19524656 33686416 39049312 61056629 67372832 78098624 122113258 134745664 156197248 244226516 269491328 488453032 976906064 1770642241 1953812128 3541284482 3907624256 7082568964 7815248512 14165137928 28330275856 56660551712 113321103424 226642206848