Search a number
-
+
3222012102223 = 6721018598273
BaseRepresentation
bin101110111000101110111…
…000110000011001001111
3102102000120120012121112211
4232320232320300121033
5410242140044232343
610504101045211251
7451532314663165
oct56705670603117
912360516177484
103222012102223
1110324a191a0a2
12440545400b27
131a4ab034a725
14b1d365c9235
1558c2a3d779d
hex2ee2ee3064f

3222012102223 has 24 divisors (see below), whose sum is σ = 3307449090960. Its totient is φ = 3138459667200.

The previous prime is 3222012102163. The next prime is 3222012102293.

3222012102223 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-3222012102223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3222012102194 and 3222012102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222012102293) 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 23 ways as a sum of consecutive naturals, for example, 389457015 + ... + 389465287.

It is an arithmetic number, because the mean of its divisors is an integer number (137810378790).

Almost surely, 23222012102223 is an apocalyptic number.

3222012102223 is a deficient number, since it is larger than the sum of its proper divisors (85436988737).

3222012102223 is an equidigital number, since it uses as much as digits as its factorization.

3222012102223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 3222012102223 in words is "three trillion, two hundred twenty-two billion, twelve million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 67 101 859 4489 6767 8273 57553 86759 453389 554291 835573 3856051 5812853 7106507 37137497 55983391 389461151 476135969 717757207 3750887197 31901109923 48089732869 3222012102223