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20226721800 = 23352151223253
BaseRepresentation
bin10010110101100110…
…110100100000001000
31221012122010221002110
4102311212310200020
5312411020044200
613143024502320
71314144204255
oct226546644010
957178127073
1020226721800
11863a50350a
123b05a7a9a0
131ba4659a4c
14d9c46242c
157d5b02b50
hex4b59b4808

20226721800 has 96 divisors (see below), whose sum is σ = 63118370880. Its totient is φ = 5358048000.

The previous prime is 20226721777. The next prime is 20226721831. The reversal of 20226721800 is 812762202.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21027 + ... + 202226.

It is an arithmetic number, because the mean of its divisors is an integer number (657483030).

Almost surely, 220226721800 is an apocalyptic number.

20226721800 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 20226721800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31559185440).

20226721800 is an abundant number, since it is smaller than the sum of its proper divisors (42891649080).

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

20226721800 is a wasteful number, since it uses less digits than its factorization.

20226721800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223423 (or 223414 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 20226721800 in words is "twenty billion, two hundred twenty-six million, seven hundred twenty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 151 200 300 302 453 600 604 755 906 1208 1510 1812 2265 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 22650 30200 45300 90600 223253 446506 669759 893012 1116265 1339518 1786024 2232530 2679036 3348795 4465060 5358072 5581325 6697590 8930120 11162650 13395180 16743975 22325300 26790360 33487950 33711203 44650600 66975900 67422406 101133609 133951800 134844812 168556015 202267218 269689624 337112030 404534436 505668045 674224060 809068872 842780075 1011336090 1348448120 1685560150 2022672180 2528340225 3371120300 4045344360 5056680450 6742240600 10113360900 20226721800