Search a number
-
+
2216223405 = 3251119722727
BaseRepresentation
bin1000010000011000…
…1110001010101101
312201110012210222100
42010012032022231
514014323122110
61003525205313
7105630405504
oct20406161255
95643183870
102216223405
11a380004a0
1251a260839
132941c1ac6
141704a183b
15ce873bc0
hex8418e2ad

2216223405 has 48 divisors (see below), whose sum is σ = 4212134784. Its totient is φ = 1069031040.

The previous prime is 2216223371. The next prime is 2216223437. The reversal of 2216223405 is 5043226122.

It is a happy number.

2216223405 is a `hidden beast` number, since 2 + 2 + 1 + 622 + 34 + 0 + 5 = 666.

It is not a de Polignac number, because 2216223405 - 26 = 2216223341 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 86152 + ... + 108878.

It is an arithmetic number, because the mean of its divisors is an integer number (87752808).

Almost surely, 22216223405 is an apocalyptic number.

It is an amenable number.

2216223405 is a deficient number, since it is larger than the sum of its proper divisors (1995911379).

2216223405 is a wasteful number, since it uses less digits than its factorization.

2216223405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22946 (or 22943 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2216223405 is about 47076.7820161914. The cubic root of 2216223405 is about 1303.7805934332.

Adding to 2216223405 its reverse (5043226122), we get a palindrome (7259449527).

The spelling of 2216223405 in words is "two billion, two hundred sixteen million, two hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 197 495 591 985 1773 2167 2955 6501 8865 10835 19503 22727 32505 68181 97515 113635 204543 249997 340905 749991 1022715 1249985 2249973 3749955 4477219 11249865 13431657 22386095 40294971 49249409 67158285 147748227 201474855 246247045 443244681 738741135 2216223405