Search a number
-
+
330222211444233 = 32177720647921681
BaseRepresentation
bin100101100010101011101100…
…1100111000010111000001001
31121022012221020200200022021100
41023011113121213002320021
5321240330042112203413
63130153553433532013
7126361524145242423
oct11305273147027011
91538187220608240
10330222211444233
11962454a9537559
123105333a574009
1311234a89748534
145b78ba9b65813
152829c86a55a73
hex12c55d99c2e09

330222211444233 has 12 divisors (see below), whose sum is σ = 477256061757748. Its totient is φ = 220024253422080.

The previous prime is 330222211444193. The next prime is 330222211444241. The reversal of 330222211444233 is 332444112222033.

330222211444233 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 2 + 221 + 1 + 4 + 4 + 423 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55233851074704 + 274988360369529 = 7431948^2 + 16582773^2 .

It is not a de Polignac number, because 330222211444233 - 213 = 330222211436041 is a prime.

It is a super-2 number, since 2×3302222114442332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330222211444243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10323944848 + ... + 10323976833.

Almost surely, 2330222211444233 is an apocalyptic number.

It is an amenable number.

330222211444233 is a deficient number, since it is larger than the sum of its proper divisors (147033850313515).

330222211444233 is a wasteful number, since it uses less digits than its factorization.

330222211444233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647923464 (or 20647923461 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 330222211444233 its reverse (332444112222033), we get a palindrome (662666323666266).

The spelling of 330222211444233 in words is "three hundred thirty trillion, two hundred twenty-two billion, two hundred eleven million, four hundred forty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 1777 5331 15993 20647921681 61943765043 185831295129 36691356827137 110074070481411 330222211444233