Search a number
-
+
4424220444 = 2237617112161
BaseRepresentation
bin1000001111011010…
…00011111100011100
3102102022221200111110
410013231003330130
533030100023234
62011002222020
7214431152610
oct40755037434
912368850443
104424220444
1119703a2336
12a357b4910
13556793427
142dd821340
151ad6201e9
hex107b43f1c

4424220444 has 96 divisors (see below), whose sum is σ = 12161221632. Its totient is φ = 1225728000.

The previous prime is 4424220431. The next prime is 4424220461. The reversal of 4424220444 is 4440224244.

It is a super-3 number, since 3×44242204443 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 357724 + ... + 369884.

It is an arithmetic number, because the mean of its divisors is an integer number (126679392).

Almost surely, 24424220444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080610816).

4424220444 is an abundant number, since it is smaller than the sum of its proper divisors (7737001188).

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

4424220444 is a wasteful number, since it uses less digits than its factorization.

4424220444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 4424220444 is about 66514.8137184492. The cubic root of 4424220444 is about 1641.6437569439.

Adding to 4424220444 its reverse (4440224244), we get a palindrome (8864444688).

The spelling of 4424220444 in words is "four billion, four hundred twenty-four million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 71 84 122 142 183 213 244 284 366 426 427 497 732 852 854 994 1281 1491 1708 1988 2562 2982 4331 5124 5964 8662 12161 12993 17324 24322 25986 30317 36483 48644 51972 60634 72966 85127 90951 121268 145932 170254 181902 255381 340508 363804 510762 741821 863431 1021524 1483642 1726862 2225463 2590293 2967284 3453724 4450926 5180586 5192747 6044017 8901852 10361172 10385494 12088034 15578241 18132051 20770988 24176068 31156482 36264102 52669291 62312964 72528204 105338582 158007873 210677164 316015746 368685037 632031492 737370074 1106055111 1474740148 2212110222 4424220444