Search a number
-
+
224262240066 = 23290411378057
BaseRepresentation
bin1101000011011100010…
…0100011011101000010
3210102212012222011221100
43100313010203131002
512133242113140231
6251005154035230
722126266405534
oct3206704433502
9712765864840
10224262240066
1187122208277
1237568b78b16
13181bca55247
14abd64a1854
155c784b61e6
hex3437123742

224262240066 has 24 divisors (see below), whose sum is σ = 485955617004. Its totient is φ = 74745757440.

The previous prime is 224262240061. The next prime is 224262240073. The reversal of 224262240066 is 660042262422.

224262240066 is a `hidden beast` number, since 2 + 2 + 426 + 224 + 0 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171582350625 + 52679889441 = 414225^2 + 229521^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224262240066.

It is not an unprimeable number, because it can be changed into a prime (224262240061) 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 11 ways as a sum of consecutive naturals, for example, 526291 + ... + 851766.

Almost surely, 2224262240066 is an apocalyptic number.

224262240066 is an abundant number, since it is smaller than the sum of its proper divisors (261693376938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224262240066 is a wasteful number, since it uses less digits than its factorization.

224262240066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387106 (or 1387103 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 224262240066 in words is "two hundred twenty-four billion, two hundred sixty-two million, two hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 9 18 9041 18082 27123 54246 81369 162738 1378057 2756114 4134171 8268342 12402513 24805026 12459013337 24918026674 37377040011 74754080022 112131120033 224262240066