Search a number
-
+
814226661 = 31013789
BaseRepresentation
bin110000100010000…
…001110011100101
32002202010000000000
4300202001303211
53131420223121
6212443411513
726114545443
oct6042016345
92082100000
10814226661
113886785a6
121a8823b99
13cc8c4531
147a1cdb93
154b737526
hex30881ce5

814226661 has 22 divisors (see below), whose sum is σ = 1221421670. Its totient is φ = 542778408.

The previous prime is 814226659. The next prime is 814226689. The reversal of 814226661 is 166622418.

It can be written as a sum of positive squares in only one way, i.e., 808321761 + 5904900 = 28431^2 + 2430^2 .

It is not a de Polignac number, because 814226661 - 21 = 814226659 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814226641) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 52155 + ... + 65943.

Almost surely, 2814226661 is an apocalyptic number.

814226661 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

814226661 is a deficient number, since it is larger than the sum of its proper divisors (407195009).

814226661 is an frugal number, since it uses more digits than its factorization.

814226661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13819 (or 13792 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 814226661 is about 28534.6571908618. The cubic root of 814226661 is about 933.7883247443.

It can be divided in two parts, 814 and 226661, that added together give a triangular number (227475 = T674).

The spelling of 814226661 in words is "eight hundred fourteen million, two hundred twenty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 13789 19683 41367 59049 124101 372303 1116909 3350727 10052181 30156543 90469629 271408887 814226661