Search a number
-
+
2244412144422 = 2327223110638477
BaseRepresentation
bin100000101010010001011…
…000110111101100100110
321221120012221102020021100
4200222101120313230212
5243233024002110142
64435022501300530
7321103424311500
oct40522130675446
97846187366240
102244412144422
11795939164478
12302b95104746
13133854a5b736
147a8b70d8d70
153d5b0470b4c
hex20a91637b26

2244412144422 has 72 divisors (see below), whose sum is σ = 5902784078256. Its totient is φ = 613379710944.

The previous prime is 2244412144369. The next prime is 2244412144427.

2244412144422 is a `hidden beast` number, since 22 + 44 + 412 + 144 + 42 + 2 = 666.

2244412144422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244412144427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55298953 + ... + 55339524.

It is an arithmetic number, because the mean of its divisors is an integer number (81983112198).

Almost surely, 22244412144422 is an apocalyptic number.

2244412144422 is an abundant number, since it is smaller than the sum of its proper divisors (3658371933834).

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

2244412144422 is a wasteful number, since it uses less digits than its factorization.

2244412144422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110638522 (or 110638512 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 2244412144422 in words is "two trillion, two hundred forty-four billion, four hundred twelve million, one hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2254 2898 3381 6762 10143 20286 110638477 221276954 331915431 663830862 774469339 995746293 1548938678 1991492586 2323408017 2544684971 4646816034 5089369942 5421285373 6970224051 7634054913 10842570746 13940448102 15268109826 16263856119 17812794797 22902164739 32527712238 35625589594 45804329478 48791568357 53438384391 97583136714 106876768782 124689563579 160315153173 249379127158 320630306346 374068690737 748137381474 1122206072211 2244412144422