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4444222024 = 2311671794211
BaseRepresentation
bin1000010001110010…
…10111001001001000
3102110201120212111201
410020321113021020
533100210101044
62012555033544
7215063156344
oct41071271110
912421525451
104444222024
111980713870
12a4043b8b4
1355a977498
1430234a624
151b02717d4
hex108e57248

4444222024 has 64 divisors (see below), whose sum is σ = 9279878400. Its totient is φ = 1978363200.

The previous prime is 4444221983. The next prime is 4444222051. The reversal of 4444222024 is 4202224444.

It is a super-3 number, since 3×44442220243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4444221983 and 4444222001.

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 15 ways as a sum of consecutive naturals, for example, 1053279 + ... + 1057489.

It is an arithmetic number, because the mean of its divisors is an integer number (144998100).

Almost surely, 24444222024 is an apocalyptic number.

4444222024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639939200).

4444222024 is an abundant number, since it is smaller than the sum of its proper divisors (4835656376).

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

4444222024 is a wasteful number, since it uses less digits than its factorization.

4444222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4444222024 is about 66664.9984924623. The cubic root of 4444222024 is about 1644.1139556302.

Adding to 4444222024 its reverse (4202224444), we get a palindrome (8646446468).

It can be divided in two parts, 44442 and 22024, that added together give a palindrome (66466).

The spelling of 4444222024 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 179 268 358 536 716 737 1432 1474 1969 2948 3938 4211 5896 7876 8422 11993 15752 16844 23986 33688 46321 47972 92642 95944 131923 185284 263846 282137 370568 527692 564274 753769 1055384 1128548 1507538 2257096 3015076 3103507 6030152 6207014 8291459 12414028 16582918 24828056 33165836 50502523 66331672 101005046 202010092 404020184 555527753 1111055506 2222111012 4444222024