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20220223200 = 2535215315503
BaseRepresentation
bin10010110101001110…
…000001111011100000
31221012011220202200120
4102311032001323200
5312402334120300
613142233320240
71314035030022
oct226516017340
957164822616
1020220223200
118636874a71
123b03866080
131ba31c2b18
14d9b650012
157d526c3a0
hex4b5381ee0

20220223200 has 144 divisors (see below), whose sum is σ = 65871783936. Its totient is φ = 5387558400.

The previous prime is 20220223189. The next prime is 20220223211. The reversal of 20220223200 is 232202202.

It is an interprime number because it is at equal distance from previous prime (20220223189) and next prime (20220223211).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20220223200.

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, 3671649 + ... + 3677151.

It is an arithmetic number, because the mean of its divisors is an integer number (457442944).

Almost surely, 220220223200 is an apocalyptic number.

20220223200 is a gapful number since it is divisible by the number (20) 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 20220223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32935891968).

20220223200 is an abundant number, since it is smaller than the sum of its proper divisors (45651560736).

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

20220223200 is a wasteful number, since it uses less digits than its factorization.

20220223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7044 counting only the distinct ones).

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

Adding to 20220223200 its reverse (232202202), we get a palindrome (20452425402).

The spelling of 20220223200 in words is "twenty billion, two hundred twenty million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1531 2400 3062 4593 5503 6124 7655 9186 11006 12248 15310 16509 18372 22012 22965 24496 27515 30620 33018 36744 38275 44024 45930 48992 55030 61240 66036 73488 76550 82545 88048 91860 110060 114825 122480 132072 137575 146976 153100 165090 176096 183720 220120 229650 244960 264144 275150 306200 330180 367440 412725 440240 459300 528288 550300 612400 660360 734880 825450 880480 918600 1100600 1224800 1320720 1650900 1837200 2201200 2641440 3301800 3674400 4402400 6603600 8425093 13207200 16850186 25275279 33700372 42125465 50550558 67400744 84250930 101101116 126376395 134801488 168501860 202202232 210627325 252752790 269602976 337003720 404404464 421254650 505505580 631881975 674007440 808808928 842509300 1011011160 1263763950 1348014880 1685018600 2022022320 2527527900 3370037200 4044044640 5055055800 6740074400 10110111600 20220223200