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4444222224 = 2431341271641
BaseRepresentation
bin1000010001110010…
…10111001100010000
3102110201120212210010
410020321113030100
533100210102344
62012555034520
7215063160051
oct41071271420
912421525703
104444222224
111980713a32
12a4043ba40
1355a9775c0
1430234a728
151b02718b9
hex108e57310

4444222224 has 160 divisors (see below), whose sum is σ = 12732185088. Its totient is φ = 1327104000.

The previous prime is 4444222213. The next prime is 4444222249. The reversal of 4444222224 is 4222224444.

It is a happy number.

It is a Cunningham number, because it is equal to 666652-1.

It is a super-3 number, since 3×44442222243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4444222191 and 4444222200.

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 31 ways as a sum of consecutive naturals, for example, 6932944 + ... + 6933584.

Almost surely, 24444222224 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 4444222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366092544).

4444222224 is an abundant number, since it is smaller than the sum of its proper divisors (8287962864).

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

4444222224 is a wasteful number, since it uses less digits than its factorization.

4444222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

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

The square root of 4444222224 is about 66664.9999924998. Note that the first 5 decimals coincide. The cubic root of 4444222224 is about 1644.1139802931.

Adding to 4444222224 its reverse (4222224444), we get a palindrome (8666446668).

It can be divided in two parts, 44442 and 22224, that added together give a palindrome (66666).

The spelling of 4444222224 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 271 312 328 492 533 542 624 641 656 813 984 1066 1084 1282 1599 1626 1923 1968 2132 2168 2564 3198 3252 3523 3846 4264 4336 5128 6396 6504 7046 7692 8333 8528 10256 10569 11111 12792 13008 14092 15384 16666 21138 22222 24999 25584 26281 28184 30768 33332 33333 42276 44444 49998 52562 56368 66664 66666 78843 84552 88888 99996 105124 133328 133332 144443 157686 169104 173711 177776 199992 210248 266664 288886 315372 341653 347422 399984 420496 433329 521133 533328 577772 630744 683306 694844 866658 1024959 1042266 1155544 1261488 1366612 1389688 1733316 2049918 2084532 2258243 2311088 2733224 2779376 3466632 4099836 4169064 4516486 5466448 6774729 6933264 7122151 8199672 8338128 9032972 13549458 14244302 16399344 18065944 21366453 27098916 28488604 36131888 42732906 54197832 56977208 85465812 92587963 108395664 113954416 170931624 185175926 277763889 341863248 370351852 555527778 740703704 1111055556 1481407408 2222111112 4444222224