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226771491968 = 27748592
BaseRepresentation
bin1101001100110010100…
…0100101110010000000
3210200100002120101102222
43103030220211302000
512203412000220333
6252102152030212
722245415610000
oct3231450456200
9720302511388
10226771491968
118819a66037a
1237b49392368
13184cc873898
14ad93840000
155d7391d298
hex34cca25c80

226771491968 has 120 divisors (see below), whose sum is σ = 527649452955. Its totient is φ = 97074641664.

The previous prime is 226771491937. The next prime is 226771491979. The reversal of 226771491968 is 869194177622.

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 only one way, i.e., 113385745984 + 113385745984 = 336728^2 + 336728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336728.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226771491968.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 263994323 + ... + 263995181.

Almost surely, 2226771491968 is an apocalyptic number.

226771491968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226771491968

226771491968 is an abundant number, since it is smaller than the sum of its proper divisors (300877960987).

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

226771491968 is an frugal number, since it uses more digits than its factorization.

226771491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 868 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 62.

The spelling of 226771491968 in words is "two hundred twenty-six billion, seven hundred seventy-one million, four hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 859 896 1372 1568 1718 2401 2744 3136 3436 4802 5488 6013 6272 6872 9604 10976 12026 13744 19208 21952 24052 27488 38416 42091 43904 48104 54976 76832 84182 96208 109952 153664 168364 192416 294637 307328 336728 384832 589274 673456 737881 769664 1178548 1346912 1475762 2062459 2357096 2693824 2951524 4124918 4714192 5165167 5387648 5903048 8249836 9428384 10330334 11806096 16499672 18856768 20660668 23612192 32999344 36156169 37713536 41321336 47224384 65998688 72312338 82642672 94448768 131997376 144624676 165285344 253093183 263994752 289249352 330570688 506186366 578498704 661141376 1012372732 1156997408 1771652281 2024745464 2313994816 3543304562 4049490928 4627989632 7086609124 8098981856 14173218248 16197963712 28346436496 32395927424 56692872992 113385745984 226771491968