Search a number
-
+
2205322141014 = 232254574812739
BaseRepresentation
bin100000000101110111011…
…100010101110101010110
321210211022200200022102100
4200011313130111311112
5242112444432003024
64405035551022530
7315220636623126
oct40056734256526
97724280608370
102205322141014
117802a9946333
122b74a5b0aa46
1312cc653929c5
1478a4972ac86
153c5737dc7c9
hex20177715d56

2205322141014 has 24 divisors (see below), whose sum is σ = 4778386661880. Its totient is φ = 735078351168.

The previous prime is 2205322141013. The next prime is 2205322141067. The reversal of 2205322141014 is 4101412235022.

2205322141014 is a `hidden beast` number, since 2 + 2 + 0 + 532 + 21 + 4 + 101 + 4 = 666.

2205322141014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205322141013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1948144 + ... + 2864595.

It is an arithmetic number, because the mean of its divisors is an integer number (199099444245).

Almost surely, 22205322141014 is an apocalyptic number.

2205322141014 is an abundant number, since it is smaller than the sum of its proper divisors (2573064520866).

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

2205322141014 is a wasteful number, since it uses less digits than its factorization.

2205322141014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838204 (or 4838201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2205322141014 its reverse (4101412235022), we get a palindrome (6306734376036).

The spelling of 2205322141014 in words is "two trillion, two hundred five billion, three hundred twenty-two million, one hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 25457 50914 76371 152742 229113 458226 4812739 9625478 14438217 28876434 43314651 86629302 122517896723 245035793446 367553690169 735107380338 1102661070507 2205322141014