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226717870201 = 197224172
BaseRepresentation
bin1101001100100101110…
…0000010100001111001
3210200012100200010012121
43103021130002201321
512203304233321301
6252052554441241
722244165046214
oct3231134024171
9720170603177
10226717870201
1188172366569
1237b33433221
13184c171ab24
14ad8a68277b
155d6dd7a3a1
hex34c9702879

226717870201 has 9 divisors (see below), whose sum is σ = 227968883149. Its totient is φ = 225473692864.

The previous prime is 226717870163. The next prime is 226717870243. The reversal of 226717870201 is 102078717622.

The square root of 226717870201 is 476149.

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 206205901801 + 20511968400 = 454099^2 + 143220^2 .

It is not a de Polignac number, because 226717870201 - 29 = 226717869689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226717870271) 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, 93800145 + ... + 93802561.

Almost surely, 2226717870201 is an apocalyptic number.

226717870201 is the 476149-th square number.

226717870201 is the 238075-th centered octagonal number.

It is an amenable number.

226717870201 is a deficient number, since it is larger than the sum of its proper divisors (1251012948).

226717870201 is an frugal number, since it uses more digits than its factorization.

226717870201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

The spelling of 226717870201 in words is "two hundred twenty-six billion, seven hundred seventeen million, eight hundred seventy thousand, two hundred one".

Divisors: 1 197 2417 38809 476149 5841889 93801353 1150852133 226717870201