Search a number
-
+
1816226181 = 327112990373
BaseRepresentation
bin110110001000001…
…0110100110000101
311200120112211221100
41230100112212011
512204423214211
6500120010313
763002445030
oct15420264605
94616484840
101816226181
11852237680
12428300999
1322c381863
141332dc017
15a96b1156
hex6c416985

1816226181 has 48 divisors (see below), whose sum is σ = 3383602560. Its totient is φ = 910949760.

The previous prime is 1816226179. The next prime is 1816226183.

1816226181 is a `hidden beast` number, since 1 + 8 + 16 + 22 + 618 + 1 = 666.

1816226181 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1816226179) and next prime (1816226183).

It is not a de Polignac number, because 1816226181 - 21 = 1816226179 is a prime.

It is a super-2 number, since 2×18162261812 = 6597355081099689522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816226183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25090 + ... + 65283.

It is an arithmetic number, because the mean of its divisors is an integer number (70491720).

Almost surely, 21816226181 is an apocalyptic number.

1816226181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1816226181 is a deficient number, since it is larger than the sum of its proper divisors (1567376379).

1816226181 is a wasteful number, since it uses less digits than its factorization.

1816226181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90426 (or 90423 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 1816226181 is about 42617.2052227736. The cubic root of 1816226181 is about 1220.0846893194.

The spelling of 1816226181 in words is "one billion, eight hundred sixteen million, two hundred twenty-six thousand, one hundred eighty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 693 957 1827 2233 2871 6699 20097 90373 271119 632611 813357 994103 1897833 2620817 2982309 5693499 6958721 7862451 8946927 18345719 20876163 23587353 28828987 55037157 62628489 86486961 165111471 201802909 259460883 605408727 1816226181