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4223144000 = 2653677879
BaseRepresentation
bin1111101110111000…
…0001000001000000
3101220022120221110202
43323232001001000
532122111102000
61535020344332
7206440063115
oct37356010100
911808527422
104223144000
111877944659
1299a3a50a8
13523c2019a
142c0c3c90c
1519ab51dd5
hexfbb81040

4223144000 has 112 divisors (see below), whose sum is σ = 10616062080. Its totient is φ = 1663833600.

The previous prime is 4223143997. The next prime is 4223144021. The reversal of 4223144000 is 4413224.

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

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 15 ways as a sum of consecutive naturals, for example, 532061 + ... + 539939.

Almost surely, 24223144000 is an apocalyptic number.

4223144000 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 4223144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308031040).

4223144000 is an abundant number, since it is smaller than the sum of its proper divisors (6392918080).

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

4223144000 is an equidigital number, since it uses as much as digits as its factorization.

4223144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4223144000 is about 64985.7215086514. The cubic root of 4223144000 is about 1616.3868057501.

Adding to 4223144000 its reverse (4413224), we get a palindrome (4227557224).

The spelling of 4223144000 in words is "four billion, two hundred twenty-three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 134 160 200 250 268 320 335 400 500 536 670 800 1000 1072 1340 1600 1675 2000 2144 2680 3350 4000 4288 5360 6700 7879 8000 8375 10720 13400 15758 16750 21440 26800 31516 33500 39395 53600 63032 67000 78790 107200 126064 134000 157580 196975 252128 268000 315160 393950 504256 527893 536000 630320 787900 984875 1055786 1260640 1575800 1969750 2111572 2521280 2639465 3151600 3939500 4223144 5278930 6303200 7879000 8446288 10557860 12606400 13197325 15758000 16892576 21115720 26394650 31516000 33785152 42231440 52789300 63032000 65986625 84462880 105578600 131973250 168925760 211157200 263946500 422314400 527893000 844628800 1055786000 2111572000 4223144000