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2021723300 = 2252172694421
BaseRepresentation
bin111100010000001…
…0000110010100100
312012220020011222202
41320200100302210
513120030121200
6532340314032
7101046236012
oct17040206244
95186204882
102021723300
11948234703
124850a2918
13262b11c9c
141527118b2
15bc7541d5
hex78810ca4

2021723300 has 72 divisors (see below), whose sum is σ = 4663529640. Its totient is φ = 758118400.

The previous prime is 2021723293. The next prime is 2021723357. The reversal of 2021723300 is 33271202.

It can be written as a sum of positive squares in 12 ways, for example, as 413552896 + 1608170404 = 20336^2 + 40102^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455090 + ... + 459510.

It is an arithmetic number, because the mean of its divisors is an integer number (64771245).

Almost surely, 22021723300 is an apocalyptic number.

2021723300 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 2021723300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331764820).

2021723300 is an abundant number, since it is smaller than the sum of its proper divisors (2641806340).

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

2021723300 is a wasteful number, since it uses less digits than its factorization.

2021723300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2021723300 is about 44963.5774822244. The cubic root of 2021723300 is about 1264.4662404682.

Adding to 2021723300 its reverse (33271202), we get a palindrome (2054994502).

The spelling of 2021723300 in words is "two billion, twenty-one million, seven hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 269 340 425 538 850 1076 1345 1700 2690 4421 4573 5380 6725 8842 9146 13450 17684 18292 22105 22865 26900 44210 45730 75157 88420 91460 110525 114325 150314 221050 228650 300628 375785 442100 457300 751570 1189249 1503140 1878925 2378498 3757850 4756996 5946245 7515700 11892490 20217233 23784980 29731225 40434466 59462450 80868932 101086165 118924900 202172330 404344660 505430825 1010861650 2021723300