Search a number
-
+
3220448440223 = 723188910589087
BaseRepresentation
bin101110110111010001101…
…011110110111110011111
3102101212112120220100112102
4232313101223312332133
5410230434300041343
610503241550355315
7451445500036640
oct56672153667637
912355476810472
103220448440223
11103186a207753
124401897bbb3b
131a48c13c8741
14b1c28a736c7
1558b87eb53b8
hex2edd1af6f9f

3220448440223 has 16 divisors (see below), whose sum is σ = 3842568253440. Its totient is φ = 2638969656576.

The previous prime is 3220448440207. The next prime is 3220448440243.

3220448440223 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3220448440223 - 24 = 3220448440207 is a prime.

It is a super-2 number, since 2×32204484402232 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220448440243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990415 + ... + 5598672.

It is an arithmetic number, because the mean of its divisors is an integer number (240160515840).

Almost surely, 23220448440223 is an apocalyptic number.

3220448440223 is a deficient number, since it is larger than the sum of its proper divisors (622119813217).

3220448440223 is a wasteful number, since it uses less digits than its factorization.

3220448440223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591006.

The product of its (nonzero) digits is 294912, while the sum is 38.

The spelling of 3220448440223 in words is "three trillion, two hundred twenty billion, four hundred forty-eight million, four hundred forty thousand, two hundred twenty-three".

Divisors: 1 7 23 161 1889 13223 43447 304129 10589087 74123609 243549001 1704843007 20002785343 140019497401 460064062889 3220448440223