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226445594769 = 321586212
BaseRepresentation
bin1101001011100100110…
…1011001000010010001
3210122111101100002112100
43102321031121002101
512202230033013034
6252005550551013
722234350540252
oct3227115310221
9718441302470
10226445594769
11880426a8a49
1237a78208469
131847a1a93c4
14ad62448b29
155d54ee6099
hex34b9359091

226445594769 has 9 divisors (see below), whose sum is σ = 327090143419. Its totient is φ = 150962778120.

The previous prime is 226445594737. The next prime is 226445594783. The reversal of 226445594769 is 967495544622.

The square root of 226445594769 is 475863.

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

226445594769 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 4 + 559 + 4 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13389498369 + 213056096400 = 115713^2 + 461580^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 226445594769 - 25 = 226445594737 is a prime.

It is a super-2 number, since 2×2264455947692 (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 (226445594269) 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 8 ways as a sum of consecutive naturals, for example, 1348279 + ... + 1506899.

Almost surely, 2226445594769 is an apocalyptic number.

226445594769 is the 475863-rd square number.

226445594769 is the 237932-nd centered octagonal number.

It is an amenable number.

226445594769 is a deficient number, since it is larger than the sum of its proper divisors (100644548650).

226445594769 is an frugal number, since it uses more digits than its factorization.

226445594769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317248 (or 158624 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 226445594769 in words is "two hundred twenty-six billion, four hundred forty-five million, five hundred ninety-four thousand, seven hundred sixty-nine".

Divisors: 1 3 9 158621 475863 1427589 25160621641 75481864923 226445594769