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2040221200 = 245234714699
BaseRepresentation
bin111100110011011…
…0100111000010000
312021012000222100011
41321212310320100
513134244034300
6534241004304
7101362410523
oct17146647020
95235028304
102040221200
11957719426
1248b323694
132668ba7a4
14154d68bba
15be1a9eba
hex799b4e10

2040221200 has 60 divisors (see below), whose sum is σ = 4916091600. Its totient is φ = 813681280.

The previous prime is 2040221177. The next prime is 2040221201. The reversal of 2040221200 is 21220402.

It is not an unprimeable number, because it can be changed into a prime (2040221201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131451 + ... + 146149.

It is an arithmetic number, because the mean of its divisors is an integer number (81934860).

Almost surely, 22040221200 is an apocalyptic number.

2040221200 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 2040221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458045800).

2040221200 is an abundant number, since it is smaller than the sum of its proper divisors (2875870400).

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

2040221200 is a wasteful number, since it uses less digits than its factorization.

2040221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 15053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2040221200 is about 45168.8078213273. The cubic root of 2040221200 is about 1268.3109793303.

Adding to 2040221200 its reverse (21220402), we get a palindrome (2061441602).

The spelling of 2040221200 in words is "two billion, forty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 347 400 694 1388 1735 2776 3470 5552 6940 8675 13880 14699 17350 27760 29398 34700 58796 69400 73495 117592 138800 146990 235184 293980 367475 587960 734950 1175920 1469900 2939800 5100553 5879600 10201106 20402212 25502765 40804424 51005530 81608848 102011060 127513825 204022120 255027650 408044240 510055300 1020110600 2040221200