Search a number
-
+
2220123033 = 33225136529
BaseRepresentation
bin1000010001010100…
…0110001110011001
312201201112221021000
42010111012032121
514021322414113
61004144535213
7106005506622
oct20425061631
95651487230
102220123033
11a3a224327
1251b621509
13294c58a8b
14170bd8a49
15ced94373
hex84546399

2220123033 has 16 divisors (see below), whose sum is σ = 3290622400. Its totient is φ = 1479384000.

The previous prime is 2220123029. The next prime is 2220123053. The reversal of 2220123033 is 3303210222.

It is a happy number.

It is not a de Polignac number, because 2220123033 - 22 = 2220123029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2220122997 and 2220123015.

It is not an unprimeable number, because it can be changed into a prime (2220123023) 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 15 ways as a sum of consecutive naturals, for example, 42513 + ... + 79041.

It is an arithmetic number, because the mean of its divisors is an integer number (205663900).

Almost surely, 22220123033 is an apocalyptic number.

It is an amenable number.

2220123033 is a deficient number, since it is larger than the sum of its proper divisors (1070499367).

2220123033 is a wasteful number, since it uses less digits than its factorization.

2220123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38789 (or 38783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220123033 is about 47118.1815544700. The cubic root of 2220123033 is about 1304.5448485395.

Adding to 2220123033 its reverse (3303210222), we get a palindrome (5523333255).

The spelling of 2220123033 in words is "two billion, two hundred twenty million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 27 2251 6753 20259 36529 60777 109587 328761 986283 82226779 246680337 740041011 2220123033