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4300224440 = 2352359227349
BaseRepresentation
bin1000000000101000…
…00011011110111000
3102002200122000221212
410000110003132320
532301324140230
61550412422252
7211364206331
oct40024033670
912080560855
104300224440
1119074012a6
12a00177988
13536b9a705
142cb185288
151a27ca895
hex1005037b8

4300224440 has 128 divisors (see below), whose sum is σ = 10342080000. Its totient is φ = 1605677568.

The previous prime is 4300224437. The next prime is 4300224451. The reversal of 4300224440 is 444220034.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12321386 + ... + 12321734.

It is an arithmetic number, because the mean of its divisors is an integer number (80797500).

Almost surely, 24300224440 is an apocalyptic number.

4300224440 is a gapful number since it is divisible by the number (40) 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 4300224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040000).

4300224440 is an abundant number, since it is smaller than the sum of its proper divisors (6041855560).

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

4300224440 is a wasteful number, since it uses less digits than its factorization.

4300224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4300224440 is about 65576.0965596459. The cubic root of 4300224440 is about 1626.1616233858.

Adding to 4300224440 its reverse (444220034), we get a palindrome (4744444474).

The spelling of 4300224440 in words is "four billion, three hundred million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 227 230 236 295 349 454 460 472 590 698 908 920 1135 1180 1357 1396 1745 1816 2270 2360 2714 2792 3490 4540 5221 5428 6785 6980 8027 9080 10442 10856 13393 13570 13960 16054 20591 20884 26105 26786 27140 32108 40135 41182 41768 52210 53572 54280 64216 66965 79223 80270 82364 102955 104420 107144 133930 158446 160540 164728 205910 208840 267860 308039 316892 321080 396115 411820 473593 535720 616078 633784 792230 823640 947186 1232156 1540195 1584460 1822129 1894372 2367965 2464312 3080390 3168920 3644258 3788744 4674157 4735930 6160780 7288516 9110645 9348314 9471860 12321560 14577032 18221290 18696628 18943720 23370785 36442580 37393256 46741570 72885160 93483140 107505611 186966280 215011222 430022444 537528055 860044888 1075056110 2150112220 4300224440