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4224440000 = 2654119601
BaseRepresentation
bin1111101111001011…
…1101011011000000
3101220102000210020202
43323302331123000
532122424040000
61535104224332
7206454101414
oct37362753300
911812023222
104224440000
11187864a330
1299a90b0a8
13524285051
142c1098d44
1519ad0add5
hexfbcbd6c0

4224440000 has 140 divisors (see below), whose sum is σ = 11428722888. Its totient is φ = 1536000000.

The previous prime is 4224439997. The next prime is 4224440021. The reversal of 4224440000 is 444224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 435200 + ... + 444800.

Almost surely, 24224440000 is an apocalyptic number.

4224440000 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 4224440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714361444).

4224440000 is an abundant number, since it is smaller than the sum of its proper divisors (7204282888).

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

4224440000 is an equidigital number, since it uses as much as digits as its factorization.

4224440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4224440000 is about 64995.6921649427. The cubic root of 4224440000 is about 1616.5521346337.

Adding to 4224440000 its reverse (444224), we get a palindrome (4224884224).

The spelling of 4224440000 in words is "four billion, two hundred twenty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 9601 10000 11000 13750 17600 19202 20000 22000 27500 38404 40000 44000 48005 55000 76808 88000 96010 105611 110000 153616 192020 211222 220000 240025 307232 384040 422444 440000 480050 528055 614464 768080 844888 960100 1056110 1200125 1536160 1689776 1920200 2112220 2400250 2640275 3072320 3379552 3840400 4224440 4800500 5280550 6000625 6759104 7680800 8448880 9601000 10561100 12001250 13201375 15361600 16897760 19202000 21122200 24002500 26402750 33795520 38404000 42244400 48005000 52805500 66006875 76808000 84488800 96010000 105611000 132013750 168977600 192020000 211222000 264027500 384040000 422444000 528055000 844888000 1056110000 2112220000 4224440000