Search a number
-
+
226231681 = 134892
BaseRepresentation
bin11010111110000…
…00010110000001
3120202200202112011
431133000112001
5430403403211
634240532521
75414636404
oct1537002601
9522622464
10226231681
1110677a235
1263921141
1337b40000
142208dd3b
1514cdb921
hexd7c0581

226231681 has 15 divisors (see below), whose sum is σ = 247868351. Its totient is φ = 206482848.

The previous prime is 226231679. The next prime is 226231693. The reversal of 226231681 is 186132622.

The square root of 226231681 is 15041.

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

It can be written as a sum of positive squares in 7 ways, for example, as 202806081 + 23425600 = 14241^2 + 4840^2 .

It is not a de Polignac number, because 226231681 - 21 = 226231679 is a prime.

It is a super-2 number, since 2×2262316812 = 102361546976171522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226231661) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2541885 + ... + 2541973.

Almost surely, 2226231681 is an apocalyptic number.

226231681 is the 15041-st square number.

226231681 is the 7521-st centered octagonal number.

It is an amenable number.

226231681 is a deficient number, since it is larger than the sum of its proper divisors (21636670).

226231681 is an frugal number, since it uses more digits than its factorization.

226231681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 102 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The cubic root of 226231681 is about 609.3280076355.

The spelling of 226231681 in words is "two hundred twenty-six million, two hundred thirty-one thousand, six hundred eighty-one".

Divisors: 1 13 89 169 1157 2197 7921 15041 28561 102973 195533 1338649 2541929 17402437 226231681