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4224300000 = 2535514081
BaseRepresentation
bin1111101111001001…
…1011001111100000
3101220101202200012120
43323302123033200
532122410100000
61535101224240
7206452646304
oct37362331740
911811680176
104224300000
111878564128
1299a862080
135242363cb
142c105dd04
1519acce6a0
hexfbc9b3e0

4224300000 has 144 divisors (see below), whose sum is σ = 13861081584. Its totient is φ = 1126400000.

The previous prime is 4224299999. The next prime is 4224300061. The reversal of 4224300000 is 34224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292960 + ... + 307040.

It is an arithmetic number, because the mean of its divisors is an integer number (96257511).

Almost surely, 24224300000 is an apocalyptic number.

4224300000 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 4224300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930540792).

4224300000 is an abundant number, since it is smaller than the sum of its proper divisors (9636781584).

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

4224300000 is an equidigital number, since it uses as much as digits as its factorization.

4224300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4224300000 is about 64994.6151615655. The cubic root of 4224300000 is about 1616.5342766613.

Adding to 4224300000 its reverse (34224), we get a palindrome (4224334224).

The spelling of 4224300000 in words is "four billion, two hundred twenty-four million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 14081 15000 18750 20000 25000 28162 30000 37500 42243 50000 56324 60000 70405 75000 84486 100000 112648 140810 150000 168972 211215 225296 281620 300000 337944 352025 422430 450592 563240 675888 704050 844860 1056075 1126480 1351776 1408100 1689720 1760125 2112150 2252960 2816200 3379440 3520250 4224300 5280375 5632400 6758880 7040500 8448600 8800625 10560750 11264800 14081000 16897200 17601250 21121500 26401875 28162000 33794400 35202500 42243000 44003125 52803750 56324000 70405000 84486000 88006250 105607500 132009375 140810000 168972000 176012500 211215000 264018750 281620000 352025000 422430000 528037500 704050000 844860000 1056075000 1408100000 2112150000 4224300000