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226943929472 = 27132412792
BaseRepresentation
bin1101001101011011101…
…0011000110010000000
3210200210010001010020012
43103112322120302000
512204240121220342
6252131232004052
722252611400151
oct3232672306200
9720703033205
10226943929472
1188278a28207
1237b97090628
13185294ca500
14adac6c9928
155d83b30b82
hex34d6e98c80

226943929472 has 216 divisors, whose sum is σ = 508232388195. Its totient is φ = 100895109120.

The previous prime is 226943929469. The next prime is 226943929493. The reversal of 226943929472 is 274929349622.

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 5 ways, for example, as 6442309696 + 220501619776 = 80264^2 + 469576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336856.

It is a super-2 number, since 2×2269439294722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2872707929 + ... + 2872708007.

Almost surely, 2226943929472 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 226943929472

226943929472 is an abundant number, since it is smaller than the sum of its proper divisors (281288458723).

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

226943929472 is an frugal number, since it uses more digits than its factorization.

226943929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 59.

The spelling of 226943929472 in words is "two hundred twenty-six billion, nine hundred forty-three million, nine hundred twenty-nine thousand, four hundred seventy-two".