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226106907049 = 1728323372
BaseRepresentation
bin1101001010010100000…
…1011001100110101001
3210121121210000222022201
43102211001121212221
512201031332011144
6251512211420201
722223065666432
oct3224501314651
9717553028281
10226106907049
11879894aa941
12379a28b4661
1318424c8417a
14ad2d484489
155d353e41d4
hex34a50599a9

226106907049 has 27 divisors (see below), whose sum is σ = 243841967877. Its totient is φ = 209618701824.

The previous prime is 226106907041. The next prime is 226106907073. The reversal of 226106907049 is 940709601622.

The square root of 226106907049 is 475507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 709849449 + 225397057600 = 26643^2 + 474760^2 .

It is not a de Polignac number, because 226106907049 - 23 = 226106907041 is a prime.

It is a super-2 number, since 2×2261069070492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226106907041) by changing a digit.

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, 670940209 + ... + 670940545.

Almost surely, 2226106907049 is an apocalyptic number.

226106907049 is the 475507-th square number.

226106907049 is the 237754-th centered octagonal number.

It is an amenable number.

226106907049 is a deficient number, since it is larger than the sum of its proper divisors (17735060828).

226106907049 is an frugal number, since it uses more digits than its factorization.

226106907049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 226106907049 in words is "two hundred twenty-six billion, one hundred six million, nine hundred seven thousand, forty-nine".

Divisors: 1 17 83 289 337 1411 5729 6889 23987 27971 97393 113569 117113 475507 1930673 1990921 2321593 8083619 9426227 32821441 39467081 160245859 670940377 782376841 2724179603 13300406297 226106907049