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4002223320 = 2332567316519
BaseRepresentation
bin1110111010001101…
…0001010011011000
3101022220220000021100
43232203101103120
531144032121240
61501045311400
7201115223364
oct35643212330
911286800240
104002223320
111774172687
12938405560
134ba21c6a4
1429d7722a4
15186563e30
hexee8d14d8

4002223320 has 96 divisors (see below), whose sum is σ = 13027341600. Its totient is φ = 1065609216.

The previous prime is 4002223319. The next prime is 4002223339. The reversal of 4002223320 is 233222004.

4002223320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002223293 and 4002223302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234021 + ... + 250539.

It is an arithmetic number, because the mean of its divisors is an integer number (135701475).

Almost surely, 24002223320 is an apocalyptic number.

4002223320 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 4002223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513670800).

4002223320 is an abundant number, since it is smaller than the sum of its proper divisors (9025118280).

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

4002223320 is a wasteful number, since it uses less digits than its factorization.

4002223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17209 (or 17202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4002223320 is about 63263.1276495243. The cubic root of 4002223320 is about 1587.6951058692.

Adding to 4002223320 its reverse (233222004), we get a palindrome (4235445324).

The spelling of 4002223320 in words is "four billion, two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673 1346 2019 2692 3365 4038 5384 6057 6730 8076 10095 12114 13460 16152 16519 20190 24228 26920 30285 33038 40380 48456 49557 60570 66076 80760 82595 99114 121140 132152 148671 165190 198228 242280 247785 297342 330380 396456 495570 594684 660760 743355 991140 1189368 1486710 1982280 2973420 5946840 11117287 22234574 33351861 44469148 55586435 66703722 88938296 100055583 111172870 133407444 166759305 200111166 222345740 266814888 333518610 400222332 444691480 500277915 667037220 800444664 1000555830 1334074440 2001111660 4002223320