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2444004222 = 231128340559
BaseRepresentation
bin1001000110101100…
…1000101101111110
320022022211021111220
42101223020231332
520001131113342
61042303254210
7114364456512
oct22153105576
96268737456
102444004222
111044638600
125825aa366
132cc454c5a
14192836142
15e48695ec
hex91ac8b7e

2444004222 has 48 divisors (see below), whose sum is σ = 5437635840. Its totient is φ = 731666320.

The previous prime is 2444004221. The next prime is 2444004229. The reversal of 2444004222 is 2224004442.

It is a junction number, because it is equal to n+sod(n) for n = 2444004192 and 2444004201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39979 + ... + 80537.

It is an arithmetic number, because the mean of its divisors is an integer number (113284080).

Almost surely, 22444004222 is an apocalyptic number.

2444004222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444004222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718817920).

2444004222 is an abundant number, since it is smaller than the sum of its proper divisors (2993631618).

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

2444004222 is a wasteful number, since it uses less digits than its factorization.

2444004222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40669 (or 40658 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2444004222 is about 49436.8710781740. The cubic root of 2444004222 is about 1346.9991363573. Note that the first 3 decimals are identical.

Adding to 2444004222 its reverse (2224004442), we get a palindrome (4668008664).

The spelling of 2444004222 in words is "two billion, four hundred forty-four million, four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 913 1826 2739 5478 10043 20086 30129 40559 60258 81118 121677 243354 446149 892298 1338447 2676894 3366397 4907639 6732794 9815278 10099191 14722917 20198382 29445834 37030367 74060734 111091101 222182202 407334037 814668074 1222002111 2444004222