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3112220320 = 2551110916223
BaseRepresentation
bin1011100110000000…
…1011011010100000
322000220012011200021
42321200023122200
522333212022240
61232453403224
7140060302426
oct27140133240
98026164607
103112220320
111357849210
1272a339514
133a7a163b1
14217499116
1513335e54a
hexb980b6a0

3112220320 has 96 divisors (see below), whose sum is σ = 8095127040. Its totient is φ = 1121264640.

The previous prime is 3112220303. The next prime is 3112220327. The reversal of 3112220320 is 230222113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3112220294 and 3112220303.

It is not an unprimeable number, because it can be changed into a prime (3112220327) by changing a digit.

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, 183729 + ... + 199951.

It is an arithmetic number, because the mean of its divisors is an integer number (84324240).

Almost surely, 23112220320 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 3112220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047563520).

3112220320 is an abundant number, since it is smaller than the sum of its proper divisors (4982906720).

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

3112220320 is a wasteful number, since it uses less digits than its factorization.

3112220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3112220320 is about 55787.2774026480. The cubic root of 3112220320 is about 1460.0131855943.

Adding to 3112220320 its reverse (230222113), we get a palindrome (3342442433).

The spelling of 3112220320 in words is "three billion, one hundred twelve million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 352 436 440 545 872 880 1090 1199 1744 1760 2180 2398 3488 4360 4796 5995 8720 9592 11990 16223 17440 19184 23980 32446 38368 47960 64892 81115 95920 129784 162230 178453 191840 259568 324460 356906 519136 648920 713812 892265 1297840 1427624 1768307 1784530 2595680 2855248 3536614 3569060 5710496 7073228 7138120 8841535 14146456 14276240 17683070 19451377 28292912 28552480 35366140 38902754 56585824 70732280 77805508 97256885 141464560 155611016 194513770 282929120 311222032 389027540 622444064 778055080 1556110160 3112220320