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4430230112 = 2571121491097
BaseRepresentation
bin1000010000000111…
…11111001001100000
3102102202021000012202
410020003333021200
533033114330422
62011335112332
7214533222530
oct41003771140
912382230182
104430230112
111973827500
12a378126a8
13557ab8949
143005474c0
151ade0ab92
hex1080ff260

4430230112 has 144 divisors (see below), whose sum is σ = 11040170400. Its totient is φ = 1712916480.

The previous prime is 4430230109. The next prime is 4430230121. The reversal of 4430230112 is 2110320344.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4037948 + ... + 4039044.

It is an arithmetic number, because the mean of its divisors is an integer number (76667850).

Almost surely, 24430230112 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 4430230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520085200).

4430230112 is an abundant number, since it is smaller than the sum of its proper divisors (6609940288).

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

4430230112 is a wasteful number, since it uses less digits than its factorization.

4430230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4430230112 is about 66559.9737980718. The cubic root of 4430230112 is about 1642.3867330520.

Adding to 4430230112 its reverse (2110320344), we get a palindrome (6540550456).

The spelling of 4430230112 in words is "four billion, four hundred thirty million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 149 154 176 224 242 298 308 352 484 596 616 847 968 1043 1097 1192 1232 1639 1694 1936 2086 2194 2384 2464 3278 3388 3872 4172 4388 4768 6556 6776 7679 8344 8776 11473 12067 13112 13552 15358 16688 17552 18029 22946 24134 26224 27104 30716 33376 35104 36058 45892 48268 52448 61432 72116 84469 91784 96536 122864 126203 132737 144232 163453 168938 183568 193072 245728 252406 265474 288464 326906 337876 367136 386144 504812 530948 576928 653812 675752 929159 1009624 1061896 1144171 1307624 1351504 1797983 1858318 2019248 2123792 2288342 2615248 2703008 3595966 3716636 4038496 4247584 4576684 5230496 7191932 7433272 9153368 12585881 14383864 14866544 18306736 19777813 25171762 28767728 29733088 36613472 39555626 50343524 57535456 79111252 100687048 138444691 158222504 201374096 276889382 316445008 402748192 553778764 632890016 1107557528 2215115056 4430230112