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20233300200 = 2335270947563
BaseRepresentation
bin10010110101111111…
…111010100011101000
31221020002112010221220
4102311333322203220
5312414211101300
613143421502040
71314254133261
oct226577724350
957202463856
1020233300200
118643196a03
123b08111920
131ba5b210a9
14d9d295968
157d64a1da0
hex4b5ffa8e8

20233300200 has 96 divisors (see below), whose sum is σ = 62813018400. Its totient is φ = 5387823360.

The previous prime is 20233300177. The next prime is 20233300201. The reversal of 20233300200 is 200333202.

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 20233300200.

It is not an unprimeable number, because it can be changed into a prime (20233300201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401619 + ... + 449181.

It is an arithmetic number, because the mean of its divisors is an integer number (654302275).

Almost surely, 220233300200 is an apocalyptic number.

20233300200 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 20233300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406509200).

20233300200 is an abundant number, since it is smaller than the sum of its proper divisors (42579718200).

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

20233300200 is a wasteful number, since it uses less digits than its factorization.

20233300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48291 (or 48282 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20233300200 its reverse (200333202), we get a palindrome (20433633402).

The spelling of 20233300200 in words is "twenty billion, two hundred thirty-three million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 14180 17016 17725 21270 28360 35450 42540 47563 53175 70900 85080 95126 106350 141800 142689 190252 212700 237815 285378 380504 425400 475630 570756 713445 951260 1141512 1189075 1426890 1902520 2378150 2853780 3567225 4756300 5707560 7134450 9512600 14268900 28537800 33722167 67444334 101166501 134888668 168610835 202333002 269777336 337221670 404666004 505832505 674443340 809332008 843054175 1011665010 1348886680 1686108350 2023330020 2529162525 3372216700 4046660040 5058325050 6744433400 10116650100 20233300200